Derivatives of Exponential Functions (AQA A-Level Mathematics): Flashcards

$e^x$

It equals the function itself

$a^x \ln(a)$

Constant multiplier

$e^{u(x)} \cdot u'(x)$

$a^{u(x)} \ln(a) \cdot u'(x)$

$3e^{3x}$

$5^x \ln(5)$

$-4x e^{-x^2}$

Growth, decay, rate of change, optimisation