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8.05 Differentiating x^n for non-integer n

Interactive practice questions

Determine the derivative of $y=x^{\frac{6}{5}}$y=x65.

Easy
< 1min

Determine the derivative of $y=x^{0.6}$y=x0.6.

Easy
< 1min

Differentiate $y=x^{-\frac{1}{5}}$y=x15 with respect to $x$x. Express your answer in positive index form.

Easy
2min

Find the derivative of $y=x-x^3+\sqrt[8]{x}+3$y=xx3+8x+3.

Give your answer with positive indices.

Easy
2min
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Outcomes

MA11-1

uses algebraic and graphical techniques to solve, and where appropriate, compare alternative solutions to problems

MA11-5

interprets the meaning of the derivative, determines the derivative of functions and applies these to solve simple practical problems

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