Question

Derivate compuse calculați f'x
F(x) =radical din3x

Answer 1

f'(x)=(√3x)'=(3x)'/2√3x=3/2√3x

Se aplica formula: (√u)'=u'/2√u, unde u este 3x.

Answer 2

$f(x) = \sqrt{3x} = \sqrt 3 \cdot \sqrt x \\ \\ f'(x) = \sqrt 3 \cdot (\sqrt x)' = \sqrt 3 \cdot \dfrac{1}{2\sqrt x} = \dfrac{\sqrt 3}{2\sqrt x}$