New Zealand
Level 8 - NCEA Level 3

Applications of differentiation of Trig Functions (mixed)

Interactive practice questions

Find the equation of the tangent to the curve $y=\cos6x$y=cos6x at the point where $x=\frac{\pi}{18}$x=π18.

Easy
Approx 8 minutes

The curve $y=-5x\sin x$y=5xsinx passes through the point $P\left(\pi,0\right)$P(π,0).

Find the equation of the tangent at point $P$P.

Consider the function $y=4\tan x$y=4tanx.

Solve for all the values of $x$x, where $0\le x\le2\pi$0x2π, for which the gradient of the tangent to the curve is $8$8.

Consider the function $f\left(x\right)=\tan\left(\frac{x}{5}\right)$f(x)=tan(x5).

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