Thread: differentiation

This is the problem

If g(x) = (ax^2 + bx + c) sinx + (dx^2 + ex + f) cos x

determine the values of the constants a, b, c,d,e, f

such that g'(x) = x^2 sinx

Originally Posted by ClipsClips99

This is the problem

If g(x) = (ax^2 + bx + c) sinx + (dx^2 + ex + f) cos x

determine the values of the constants a, b, c,d,e, f

such that g'(x) = x^2 sinx

So by matching up the coefficients I get
-d = 1
2a - e = 0
b - f = 0
a = 0
b + 2d = 0
c + e = 0

This gives me the solution:
a = 0
b = 2
c = 0
d = -1
e = 0
f = 2

-Dan