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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
148 Points
14 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

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Regards,

Askiitians Experts

Badiuddin


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