Question

find d²y÷dx² if y = 4e^x​

Answer 1

$y = 4 {e}^{x}$

$\dfrac{dy}{dx} = \dfrac{d}{dx} (4 {e}^{x} )$

$\dfrac{dy}{dx} = 4 {e}^{x}$

$\dfrac{d}{dx} \left( \dfrac{dy}{dx} \right) = \dfrac{d}{dx}(4 {e}^{x} )$

$\dfrac{ {d}^{2}y }{d {x}^{2} } = \boxed{ 4 {e}^{x} }$