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Card 1 of 21

Differentiate y=ln⁡xy=\ln xy=lnx.

A

The gradient 1x\dfrac{1}{x}x1​ decreases as xxx increases.

B

x>25x>\dfrac{2}{5}x>52​.

C

The logarithm power law is ln⁡(an)=nln⁡a\boxed{\ln(a^n)=n\ln a}ln(an)=nlna​.

D

dydx=1x\dfrac{dy}{dx}=\dfrac{1}{x}dxdy​=x1​, for x>0x>0x>0.

Card 1 of 21

1.7.12 Derivative of ln x (A-level only) Flashcards

  1. A Level
  2. /Maths
  3. /1.7.12 Derivative of ln x (A-level only)

21 flashcards on OCR A Level Maths 1.7.12 Derivative of ln x (A-level only): the key formulae, methods and definitions you need to recall for Paper 1, Paper 2 and Paper 3.

Flashcards