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1.9.5 Differentiate y = kx^n

Card 1 of 20

For y=kxny=kx^ny=kxn, the power rule gives [...]\text{[...]}[...].

A

A variable in a denominator is rewritten using a negative power before differentiation.

B

For y=kxny=kx^ny=kxn, the power rule gives dydx=knxn−1\boxed{\dfrac{dy}{dx}=knx^{n-1}}dxdy​=knxn−1​.

C

dydx=12x1/2\dfrac{dy}{dx}=12x^{1/2}dxdy​=12x1/2

D

When reducing a fractional index, 23−1=\dfrac{2}{3}-1=32​−1= −13\boxed{-\dfrac{1}{3}}−31​​.

Card 1 of 20

1.9.5 Differentiate y = kx^n Flashcards

  1. A Level
  2. /Maths
  3. /1.9.5 Differentiate y = kx^n

20 flashcards on OCR (MEI) A Level Maths 1.9.5 Differentiate y = kx^n: the key formulae, methods and definitions you need to recall for Component 01, Component 02 and Component 03.

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