New Zealand
Level 8 - NCEA Level 3

Differentiating Various Trig Functions (tan)

Interactive practice questions

By considering $\tan x=\frac{\sin x}{\cos x}$tanx=sinxcosx, differentiate $y=\tan x$y=tanx using the quotient rule.

Easy
Approx 3 minutes

Find the derivative of $y=\tan^2\left(4x\right)$y=tan2(4x).

Differentiate $y=\left(\tan x-5\right)^5$y=(tanx5)5.

Differentiate $y=\tan^6\left(x\right)$y=tan6(x).

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