NZ Level 8 (NZC) Level 3 (NCEA) [In development]
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Mixed Problems

Interactive practice questions

Find the derivative of $y=\left(5x\right)^3+6\sqrt[3]{x}$y=(5x)3+63x.

Easy
Approx 5 minutes
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Differentiate $y=x^{\frac{5}{3}}+\left(4x-7\right)^6$y=x53+(4x7)6.

Differentiate $y=\left(x+7\right)^5-\frac{3}{x^4}$y=(x+7)53x4.

Differentiate $y=x^4-4x+6\sqrt{x-7}$y=x44x+6x7.

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

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