New Zealand
Level 8 - NCEA Level 3

# Differentiating exponential functions

## Interactive practice questions

Find the derivative of $y=3e^{5x}-e^{-4x}+x^2$y=3e5xe4x+x2.

Easy
Approx 2 minutes

Differentiate $y=e^{3x}+5x^2-2$y=e3x+5x22.

Find the derivative of $y=e^{\frac{1}{6}x^6}$y=e16x6.

Differentiate $y=3e^{3x^2}$y=3e3x2.

### Outcomes

#### M8-11

Choose and apply a variety of differentiation, integration, and antidifferentiation techniques to functions and relations, using both analytical and numerical methods

#### 91578

Apply differentiation methods in solving problems