6. Differential Calculus

6.01 Differentiating exponential functions

6.02 Applications of the differentiation of exponential functions

6.025 Exponential growth and decay

6.03 Differentiating logarithmic functions

6.04 Applications of the differentiation of logarithmic functions

6.05 Differentiating trigonometric functions

6.06 Applications of the differentiation of trigonometric functions

6.07 Differentiating composite functions

6.08 Harder optimisation problems

Year 12

6.03 Differentiating logarithmic functions

Interactive practice questions

Find the derivative of $y=7\ln x$y=7lnx.

Easy

< 1min

Differentiate $y=\ln6x$y=ln6x.

Easy

< 1min

Find the derivative of $y=2\ln3x$y=2ln3x.

Easy

< 1min

Differentiate $y=\ln4x-\ln3$y=ln4x−ln3.

Easy

< 1min

Outcomes

MA12-3

applies calculus techniques to model and solve problems

MA12-6

applies appropriate differentiation methods to solve problems

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