Question

Найти производнуюб f(x)=2x(3x^2-2x+5)

Answer 1

y=2x*(3x²-2x+5)=6x³-4x²+10x
y`=(6x³-4x²+10x)`=3*6x⁽³⁻¹⁾-2*4x⁽²⁻¹⁾+10x⁽¹⁻¹⁾=18x²-6x+10.

Answer 2

f'(x)=u'*v+u*v'=(2*x)'*(3*x^2-2*x+5)+2*x*(3*x^2-2*x+5)'=2(3*x^2-2*x+5)+2*x(6x-2)=6x^2-4*x+10+12*x-4=6*x^2+8*x+6