Question

derivada de e^-x
derivada de 2e^-x

Answer 1

$(e^{-x})' = (-x)' * e^{-x} (-1) * e^{-x} - e^{-x} (2e^{-x})' = 2 * (e^{-x})' -2 e^{-x}$

Answer 2

Derivada da função exponencial de base e

Se u é uma função então

$\huge\boxed{\boxed{\boxed{\boxed{\mathsf{\dfrac{d}{dx}(e^u)=e^u\cdot\dfrac{du}{dx}}}}}}$

$\dotfill$

$\huge\boxed{\boxed{\boxed{\boxed{\mathsf{\dfrac{d}{dx}(e^{-x})=-e^{-x}}}}}}$

$\huge\boxed{\boxed{\boxed{\boxed{\mathsf{\dfrac{d}{dx}2e^{-x}=-2e^{-x}}}}}}$