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

The derivative is $e^x$.

$e$ is approximately $2.718$.

The derivative is $a^x \ln(a)$.

$\ln(a)$ is the natural logarithm of $a$.

Use the formula $e^{u(x)} u'(x)$.

The formula is $u'v + uv'$.

The derivative is $5^x \ln(5)$.

Derivative is $3e^{3x}$.

Used in modeling growth and decay rates.

They help find maxima and minima in functions.