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1.9.10 Differentiate e^kx, a^kx and ln x (A-level only)

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Differentiate exe^xex.

A

3(ln⁡7)73x3(\ln 7)7^{3x}3(ln7)73x

B

For constants CCC and kkk,

ddx(Cekx)=Ckekx. \frac{\mathrm{d}}{\mathrm{d}x}\left(Ce^{kx}\right)=\boldsymbol{\boxed{Cke^{kx}}}. dxd​(Cekx)=Ckekx​.
C

exe^xex

D

When differentiating ekxe^{kx}ekx, the power rule does not apply, so the exponential expression stays unchanged.

Card 1 of 21

1.9.10 Differentiate e^kx, a^kx and ln x (A-level only) Flashcards

  1. A Level
  2. /Maths
  3. /1.9.10 Differentiate e^kx, a^kx and ln x (A-level only)

21 flashcards on OCR (MEI) A Level Maths 1.9.10 Differentiate e^kx, a^kx and ln x (A-level only): the key formulae, methods and definitions you need to recall for Component 01, Component 02 and Component 03.

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