If g(x)= (ax2+bx+c)sinx + (dx2+ex+f)cosx. Find a,b,c,d,e,f such that g'(x)=x2sinx
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 ago
Grade 12
Differential Calculus> Differentiation...
1 Answers
Badiuddin askIITians.ismu Expert
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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