Question

Derivata functiei f(x)=x^4-2x^2+12

Answer 1

Răspuns:f'(x)=4x³-4x

Explicație pas cu pas:

f'(x)=(x⁴)'-2•(x²)'+(12)'=4x³-2•2x+0=4x³-4x

Answer 2

 

$\displaystyle\bf\\f(x)=x^4-2x^2+12\\\\f'(x)=(x^4-2x^2+12)'=4x^{4-1}-2\cdot2x^{2-1}+0=\boxed{\bf4x^3-4x}$