Question

The
derivative of
e^3x^2-6x+2 is​

Answer 1

Answer:

$\displaystyle \sf \longrightarrow y'=e^{3x}(3x^2+2x)-6$

Step-by-step explanation:

Let :

$\displaystyle \sf y=e^{3x}.x^2-6x+2$

Diff. w.r.t. x :

$\displaystyle \sf y'=x^2.(e^{3x}.3)+e^{3x}.(2x^1)-(6x)'+(2)'$

$\displaystyle \sf y'=x^2.(e^{3x}.3)+e^{3x}.(2x^1)-(6x)'+0$

$\displaystyle \sf y'=x^2.(e^{3x}.3)+e^{3x}.(2x^1)-6$

$\displaystyle \sf y'=x^2.(e^{3x}.3)+e^{3x}.(2x)-6$

$\displaystyle \sf y'=x^2.(3e^{3x})+e^{3x}.(2x)-6$

$\displaystyle \sf \longrightarrow y'=e^{3x}(3x^2+2x)-6$

Therefore , we get required answer!