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6.07 Differentiating composite functions

Interactive practice questions

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

Easy
< 1min

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

Medium
2min

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.

Medium
2min

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

Medium
1min
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Outcomes

MA12-3

applies calculus techniques to model and solve problems

MA12-6

applies appropriate differentiation methods to solve problems

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