Use the rules of differentiation to find the derivative of the function.

# Use the rules of differentiation to find the derivative of the function.

• MATH

Use the Product Rule or the Quotient Rule to find the derivative of the…

You need to evaluate the derivative of the given function and since the function is a quotient of two functions, then you must use the quotient rule, such that:

• MATH

Use the Product Rule or the Quotient Rule to find the derivative of the…

You need to evaluate the derivative of the given function and since the function is a quotient of two functions, then you must use the quotient rule, such that:

• MATH

Use the Product Rule or the Quotient Rule to find the derivative…

You need to evaluate the derivative of the given function and since the function is a quotient of two polynomials, then you must use the quotient rule, such that:

• MATH

Use the Product Rule or the Quotient Rule to find the…

You need to evaluate the derivative of the given function and since the function is a quotient of two polynomials, then you must use the quotient rule, such that:

• MATH

Use the Product Rule or the Quotient Rule to find the derivative of…

You need to evaluate the derivative of the given function and since the function is a product of two polynomials, then you must use the product rule, such that:

• MATH

Use the Product Rule or the Quotient Rule to find the derivative of…

You need to evaluate the derivative of the given function and since the function is a product of two polynomials, then you must use the product rule, such that:

• MATH

Use the Product Rule or the Quotient Rule to find the…

You need to evaluate the derivative of the given function and since the function is a product of two polynomials, then you must use the product rule, such that:

• MATH

Use the Product Rule or the Quotient Rule to find the…

You need to evaluate the derivative of the given function and since the function is a product of two polynomials, then you must use the product rule, such that:

• MATH

Find the slope of the graph of the functions at the…

In order to find the slope of the given function at a specified point, first find the derivative of the function, then evaluate the derivative of the function using the given x-value. Given:…

• MATH

Find the slope of the graph of the functions at the given point.

In order to find the slope of a function at a specific point, first find the derivative of the function, then plug in the x-value from the given point. Given:  …

• MATH

Find the slope of the graph of the functions at the given point.

Slope of a function at a particular point is the derivative of the function at that point.   Now the derivative at the point (1,-1) can be obtained by plugging in the…

• MATH

Find the slope of the graph of the functions at the given point.

Note:- 1) If y = x^n ; where n = constant ; then dy/dx = n*x^(n-1) Now,   Now, slope of the graph = f'(x) Hence slope at (3,1) = f'(3) =

• MATH

Use the rules of differentiation to find the derivative…

Given:

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Use the rules of differentiation to find the…

Given:  The derivative is:

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Use the rules of differentiation to find the derivative of the…

Given:

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Use the rules of differentiation to find the derivative of…

Given:

• MATH

Use the rules of differentiation to find the derivative of the function.

Find the derivative of  First rewrite the function as  then find the derivative of the function using the power rule.  The derivative is:…

• MATH

Use the rules of differentiation to find the derivative of the function.

Given:  First rewrite the function as  Find the derivative of the function by using the power rule.   The derivative is…

• MATH

Use the rules of differentiation to find the derivative of the…

Note:- If y = x^n ; then dy/dx = n*x^(n-1) ; where n = constant Now,   …

• MATH

Use the rules of differentiation to find the derivative of…

Given:  Rewrite the function as To find the derivative, use the power rule for derivatives. …

• MATH

Use the rules of differentiation to find the derivative of the function.

Note:- If y = x^n ; where n = constant ; then dy/dx = n*x^(n-1) Now,

• MATH

Use the rules of differentiation to find the derivative of the function.

Note:- If y = x^n ; then dy/dx = n*x^(n-1) ; where n = constant Now,

• MATH

Use the rules of differentiation to find the derivative of the function.

Note:- If y = x^n ; where n = constant ; then dy/dx = n*x^(n-1) Now,

• MATH

Use the rules of differentiation to find the derivative of the function.

As per the rules of differentiation, derivative of a constant is zero Thus, If y = 25 dy/dx = y’ = 0

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Use the alternative form of the derivative to find the derivative at x…

Given the function  We have to use the alternative form of derivative to find the derivative at x=c. Here given that c=3. So by definition of alternative derivative we have,…

• MATH

Use the alternative form of the derivative to find the derivative at…

Given the function  , c=2. We have to use the alternative form of derivative to find the derivative at x=c. Here given that c=2. So by definition of alternative derivative we have,…

• MATH

Find the derivative of the function by the limit process.

You need to find derivative using limit definition, such that:  …

• MATH

Find the derivative of the function by the limit process.

You need to find derivative using limit definition, such that:

• MATH

Find the derivative of the function by the limit process.

You need to find derivative using limit definition, such that:

• MATH

Find the derivative of the function by the limit process.

As per the limit process:- f'(x) = lim h—> 0 [f(x+h) – f(x)]/h Now, f(x) = 12 Thus, f(x+h) = 12 Hence f'(x) = lim h—> 0 [12-12]/h = 0

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Find the second derivative implicitly in terms of  and .

Given:

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Find the second derivative implicitly in terms of  and .

Given:      …

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Find the second derivative implicitly in terms of and .

Differentiating both sides with respect to x,    Differentiating again with respect to x,…

• MATH

Find the second derivative implicitly in terms of  and .

Now, differentiating again we get

• MATH

Find the second derivative implicitly in terms of and .

Differentiating both sides with respect to x,    Differentiating again both sides with respect to x,…

• MATH

Find the second derivative implicitly in terms of  and .

differentiating both sides with respect to x,   differentiating again both sides with respect to x and applying quotient rule,  plugging…

• MATH

Find  by implicit differentiation and evaluate the…

Differentiating both sides w.r.t ‘x’ we get   Now, dy/dx at (2,pi/3) is :-

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Find  by implicit differentiation and evaluate the derivative…

Now, dy/dx at (0,0) we get

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Find  by implicit differentiation and evaluate the…

Differentiating both sides with respect to x,    …

• MATH

Find  by implicit differentiation and evaluate the…

Differentiating both sides with respect to x,  …

• MATH

Find  by implicit differentiation and evaluate the…

Given      …

• MATH

Find  by implicit differentiation and evaluate…

Differentiating both sides with respect to x,  …

• MATH

Find  by implicit differentiation and evaluate the derivative…

Given:

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Find  by implicit differentiation and evaluate the derivative at…

Given:

• MATH

Find  by implicit differentiation.

Differentiating both sides w.r.t ‘x’ we get

• MATH

Find  by implicit differentiation.

Differentiating both sides with respect to x,    …

• MATH

Find  by implicit differentiation.

Differentiating both sides w.r.t ‘x’ we get    …

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Find  by implicit differentiation.

Differentiating both sides with respect to x,   …

• MATH

Find  by implicit differentiation.

Differentiating both sides w.r.t ‘x’ we get