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If g(x)= (ax 2 +bx+c)sinx + (dx 2 +ex+f)cosx. Find a,b,c,d,e,f such that g'(x)=x 2 sinx

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

Grade:12

1 Answers

Badiuddin askIITians.ismu Expert
147 Points
12 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


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