Question

Задача 190______________

Answer 1

$\boxed {\ (x^{n})'=n\cdot x^{n-1}\ \ ,\ \ \ \ (C\cdot u)'=C\cdot u'\ \ ,\ \ x'=1\ \ ,\ \ C'=0\ ,\ C=const\ }\\\\\\a)\ \ f(x)=3x^4-5x^2+36x+2\\\\f'(x)=3\cdot 4x^3-5\cdot 2x+36+0=12x^3-10x+36\\\\\\b)\ \ g(t)=\dfrac{2}{3}\, t^3-\dfrac{3}{8}\, t^2+t+\pi \\\\g'(t)= 2t^2-\dfrac{3}{4}\, t+1$