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Evaluate the difference quotient for the given function. Simplify your answer.f(x) = −x3,    f(a + h) − f(a)h

Question

Evaluate the difference quotient for the given function. Simplify your answer.

Given the function:

f(x)=x3 f(x) = -x^3

Evaluate:

rac{f(a + h) - f(a)}{h}

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Solution

Sure, let's evaluate the difference quotient for the function f(x) = -x^3.

The difference quotient formula is given by:

(f(a + h) - f(a)) / h

We can substitute the function f(x) = -x^3 into the difference quotient formula:

f(a + h) = -(a + h)^3 f(a) = -a^3

Substitute these into the difference q

*********************************************** ************************************************ ************************************************ ************************************************ ************************************************ ************************************************ ************************************************ ************************************************ *********

This problem has been solved

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