New Zealand
Level 7 - NCEA Level 2

# Further derivatives using power rule

## Interactive practice questions

Determine the derivative of $y=\frac{-2}{x^5}$y=2x5.

Easy
Approx a minute

Differentiate $y=18x\sqrt{x}$y=18xx. Leave your answer in surd form.

Differentiate $y=\frac{14}{x\sqrt{x}}$y=14xx. Express your answer in positive index form.

Differentiate $y=\frac{2}{\sqrt{x}}$y=2x. Leave your answer in surd form and use the notation $\frac{dy}{dx}$dydx in your solution.

### Outcomes

#### M7-10

Apply differentiation and anti-differentiation techniques to polynomials

#### 91262

Apply calculus methods in solving problems