Question

Найдите f'(x) если:
а) f(x)=$5^{x}$
б) f(x)=$\sqrt{2x-1}$

Answer 1

а) f'(x)=5^x ln5
b) f'(x)=0,5/√(2x-1)*2=1/√(2x-1)

Answer 2

$f'(x)=5^x\ln 5\\\\ f'(x)=\dfrac{1}{2\sqrt{2x-1}}\cdot2=\dfrac{1}{\sqrt{2x-1}}$