Question

найти производную функции f(x)=x^2(x-3)

Answer 1

$f(x)=x^2(x-3)=x^2x-x^2*3=x^3-3x^2;$

 

$f'(x)=(x^3-3x^2)'=(x^3)'-(3x^2)'=3x^2-3(x^2)'=3x^2-3*2x=3x^2-6x;\\ f'(x)=3x^2-6x$

Answer 2

f'(x)=(x^2)' * (x-3)'=2x*1=2x