Question

what is the derivative of 4^2x​

Answer 1

$\frac{d}{dx} (4 ^{2x} )$

As, derivative of:

$\frac{d}{dx} ( {a}^{x} ) = ln(a) . \: {a}^{x}$

Therefore ;

$\frac{d}{dx} ( {4}^{2x} ) = ln(4) . \: {4}^{2x} . \: \frac{d}{dx} (2x)$

$\frac{d}{dx} ( {4}^{2x} ) = 2 \: . \: {4}^{2x} . \: \: ln(4) ≈ 2.77 ( {4}^{2x})$