Question

If f(x) = (ax + b)", (x > -b/a),then find f'(x).

Answer 1

Answer:

Given, f(x)=(ax+b)cosx+(cx+d)sinx

Thus f

′

(x)=(ax+b)(−sinx)+acosx+csinx+(cx+d)cosx

=(−ax−b+c)sinx+(a+cx+d)cosx

Also given, f

′

(x)=xcosx