Main content

Calculus, all content (2017 edition)

Lesson 27: Exponential functions differentiation

Derivatives of aˣ and logₐx

AP.CALC: FUN‑3 (EU), FUN‑3.C (LO), FUN‑3.C.1 (EK)

Let h, left parenthesis, x, right parenthesis, equals, 2, dot, 5, start superscript, x, end superscript.

Find h, prime, left parenthesis, x, right parenthesis.

(Choice A)
2, dot, natural log, left parenthesis, 5, right parenthesis, dot, 5, start superscript, x, end superscript
(Choice B)
2, dot, natural log, left parenthesis, x, right parenthesis, dot, 5, start superscript, x, end superscript
(Choice C)
natural log, left parenthesis, 5, right parenthesis, dot, 10, start superscript, x, end superscript
(Choice D)
5, dot, 10, start superscript, x, minus, 1, end superscript

Stuck?