<p>Find the Derivative of the f(x)</p>

Question

In: Math

What is the Derivative of f(x)=(4x^7)^5

Find the Derivative of the f(x)

Expert Solution

Using the power rule and chain rule for derivatives subtract the exponent by 1 and the contsant to the front of the parentheses then proceed to do the same to the inside of the parentheses using the chain rule so what you derive inside of the parentheses doesnt change. (4x^7)^5=5(4x^7)^5-1=5(4x^7)^4. then do the inside of the parentheses. 5(4x^7)^4 *28x^6=5*28^6(4x^7)=140x^6(4x^7) so the final answer is f'(x)=140x^6(4x^7)

140x^6(4x^7)^4

Brendan Mainprize answered 3 years ago

For the following exercises, use the definition for the derivative at a pointto find the derivative of the functions. f(x) = −x2 + 4x + 7

For the following exercises, use the definition for the derivative at a pointto find the derivative of the functions.f(x) = −x2 + 4x + 7

For the following exercises, use the definition for the derivative at a pointto find the derivative of the functions. f(x) = −x2 + 4x + 7

For the following exercises, use the definition for the derivative at a pointto find the derivative of the functions.f(x) = −x2 + 4x + 7

What is the derivative of f(x)=2

Find f'(x)

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Consider the function f(x)f(x) whose second derivative is f''(x)=5x+10sin(x)f′′(x)=5x+10sin(x). If f(0)=4f(0)=4 and f'(0)=4f′(0)=4, what is f(5)f(5)?. show work

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Suppose that f is a differentiable function with derivative f" (x) = (x − 3)(x +...

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Compute the derivative of each function a.) f(x)= x5/2 - 3x2/3 b.) f(x) = 3x- log7x+7...

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Question

What is the Derivative of f(x)=(4x^7)^5

Solutions

Expert Solution

Related Solutions

For the following exercises, use the definition for the derivative at a pointto find the derivative of the functions. f(x) = −x2 + 4x + 7

For the following exercises, use the definition for the derivative at a pointto find the derivative of the functions. f(x) = −x2 + 4x + 7

What is the derivative of f(x)=2

Let f(x) = −3+(3x2 −x+1) ln(2√x−5) (a) Find the derivative of f. (b) Using the derivative...

Consider the function f(x)f(x) whose second derivative is f''(x)=5x+10sin(x)f′′(x)=5x+10sin(x). If f(0)=4f(0)=4 and f'(0)=4f′(0)=4, what is f(5)f(5)?....

Given f''(x)= 4x-6 and f'(-2)=5 and f(-2)=1 FIND: Find f'(x)= and find f(2)=

Differentiate: do the Derivative for all (a) f(x) = x ^3 − 5e + x ^5/3...

Suppose that f is a differentiable function with derivative f" (x) = (x − 3)(x +...

Compute the derivative of each function a.) f(x)= x5/2 - 3x2/3 b.) f(x) = 3x- log7x+7...

Using extended euclidean algorithm find f(x) and g(x) in: f(x)(x^5 + 4x^4 + 6x^3 + x^2...