Differentiate a Power and Evaluate - Practice 1

5 questions0m 0s

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For x^n with positive integer n, the derivative is n x^(n - 1). Differentiate first, then substitute the requested point. The original value is not the derivative.

Worked example

For f(x) = x^3, f prime at 2 is 3 x 2^2 = 12.

Question 1 For f(x) = x^3, what is f prime at x = -4? Answer

Question 2 For f(x) = x^3, what is f prime at x = -3? Answer

Question 3 For f(x) = x^3, what is f prime at x = -2? Answer

Question 4 For f(x) = x^3, what is f prime at x = -1? Answer

Question 5 For f(x) = x^3, what is f prime at x = 0? Answer