Adventure 8 — Activity 1: Derivatives & Antiderivatives

Power rule, antiderivatives, and the chain/product rules.

Part A — Power Rule (Derivatives)

1) d/dx (7.8) =

2) d/dx ((13/2)x^2) =

3) d/dx ((1/2)·g·x^2), with g=10 =

4) d/dx (4x^2 − (1/3)x^3) =

5) d/dx (a·x), where a is a constant =

6) ∫ 10 dx =

7) ∫ 13 dx =

8) ∫ 10x dx =

9) ∫ 13x dx =

10) d/dx (x^2 + x^3) =

11) d/dx (sin(x^2)) =

12) d/dx (sin(x)·e^x) =

13) d/dx (e^(−x^2)) =

14) d/dx (x ln x) =