Question

Знатоки
найдите производные функции y=f(x)​

Answer 1

Ответ:

$a)\ \ (x)=x^3-6x^2+x+1\ \ \ ,\ \ \ f'(x)=3x^2-12x+1\\\\f(x)=3x-\sqrt{x}\ \ \ ,\ \ f'(x)=3+\dfrac{1}{2\sqrt{x} }\\\\f(x)=(5-2x)^{10}\ \ ,\ \ \ f'(x)=10\, (5-2x)^9\cdot (-2)=-20\, (5-2x)^9\\\\\\b)\ \ f(x)=(x-6)^2+3x\ \ \ ,\ \ \ f'(x_=2(x-6)+3\\\\f(x)=6x^2-\dfrac{1}{\sqrt{x}}\ \ ,\ \ \ f'(x)=12x-\dfrac{1}{2\, \sqrt{x^3}}\\\\f(x)=ln(4-x^2)\ \ ,\ \ \ f'(x)=\dfrac{1}{4-x^2}\cdot (-2x)=\dfrac{-2x}{4-x^2}$