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Math / Calculus / Grade 12 / mccdd

Differentiate a Power and Evaluate - Practice 2

For x^n with positive integer n, the derivative is n x^(n - 1).

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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.

For f(x) = x^3, f prime at 2 is 3 x 2^2 = 12.
Worked model: 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 = 1?
Question 2 For f(x) = x^3, what is f prime at x = 2?
Question 3 For f(x) = x^3, what is f prime at x = 3?
Question 4 For f(x) = x^3, what is f prime at x = 4?
Question 5 For f(x) = x^3, what is f prime at x = 5?