Differentiation of Exponential Functions (HSC SSCE Mathematics Advanced): Quizzes

Its derivative equals itself

$20e^{4x-3}$

When exponent is more complex than linear

$-2xe^{1-x^2}$

$\frac{d}{dx}e^u = e^u\frac{du}{dx}$

$x^2e^x(3 + x)$

It simplifies solving $\frac{dy}{dx} = 0$

$\frac{e^{5x}(5x - 1)}{x^2}$

The numerator only

$x = -\frac{1}{5}$