New Zealand
Level 8 - NCEA Level 3

# Differentiation various functions

## Interactive practice questions

Differentiate $y=e^{\sin x}$y=esinx.

Easy
Less than a minute

Consider the equation $y=e^{\tan\left(-6x\right)}$y=etan(6x).

Find the derivative of $\cos\left(x\right)e^{5x}$cos(x)e5x. You may use the substitutions $u=\cos\left(x\right)$u=cos(x) and $v=e^{5x}$v=e5x. Leave your answer in factorised form.

Differentiate $y=\sin\left(x\right)e^x$y=sin(x)ex. Give your answer in factorised form.

### 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