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5. Differentiation
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AustraliaVIC
VCE 12 Methods 2023

5.06 Differentiation and trigonometric functions

Lesson
Worksheet
Practice

Interactive practice questions

Differentiate $y=-3\sin x$y=−3sinx.

Write each line of working as an equation.

Easy
< 1min

Differentiate $y=2-3\cos x$y=2−3cosx.

Easy
< 1min

Differentiate $y=\sin x+3\cos x$y=sinx+3cosx.

Easy
< 1min

Which of the following is the derivative of $\sin7x$sin7x?

Easy
< 1min
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Outcomes

U34.AoS3.2

derivatives of 𝑥^n, e^x, log_e(x), sin (𝑥), cos(𝑥) and tan (𝑥)

U34.AoS3.16

find derivatives of polynomial functions and power functions, functions of the form f(ax+b) where f is x^n, sine, cosine; tangent, e^x, or log x base e and simple linear combinations of these, using pattern recognition, or by hand

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