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