If g(x)= (ax2+bx+c)sinx + (dx2+ex+f)cosx. Find a,b,c,d,e,f such that g'(x)=x2sinx

BACK

Grade 12Differential Calculus

If g(x)= (ax²+bx+c)sinx + (dx²+ex+f)cosx. Find a,b,c,d,e,f such that g'(x)=x²sinx

harshit agarwal

16 Years agoGrade 12

1 Answer

Badiuddin askIITians.ismu Expert

16 Years ago

Hi harshit

g(x)= (ax²+bx+c)sinx + (dx²+ex+f)cosx

now differtiate

g'(x)=x²acosx -x²dsinx +xcosx(b+2d) +xsinx(2a-e) +cosx(c+e) +sinx(b-f)

now compair with given g'(x)=x²sinx

a=0

d=-1

b=2

e=0

c=0

f=2

Please feel free to post as many doubts on our discussion forum as you can. If you find any question Difficult to understand - post it here and we will get you the answer and detailed solution very quickly.
We are all IITians and here to help you in your IIT JEE preparation. All the best harshit .

Regards,

Askiitians Experts

Badiuddin