Question

f(x)=(e^√x+e^-√x)/2 care e derivata functiei?

Answer 1

$F(x)=\dfrac12(e^{\sqrt x}+e^{-\sqrt x})$

$F'(x)=\dfrac12(e^{\sqrt x}\cdot\dfrac{1}{2\sqrt x}-e^{-\sqrt x}\cdot\dfrac{1}{2\sqrt x})=\dfrac{1}{4\sqrt x}(e^{\sqrt x}-e^{-\sqrt x})$