Let . Which of the following is…

MATHEMATICS · Single correct · A Level · Mathematics · Differentiation · Differentiation

Problem

Let h(x)=sin⁡(3x)cos⁡(2x)h(x)=\sin(3x)\cos(2x). Which of the following is h′(x)h'(x)? (a) cos⁡(3x)cos⁡(2x)−sin⁡(3x)sin⁡(2x)\cos(3x)\cos(2x)-\sin(3x)\sin(2x) (b) 3cos⁡(3x)cos⁡(2x)−2sin⁡(3x)sin⁡(2x)3\cos(3x)\cos(2x)-2\sin(3x)\sin(2x) (c) 3cos⁡(3x)cos⁡(2x)+2sin⁡(3x)sin⁡(2x)3\cos(3x)\cos(2x)+2\sin(3x)\sin(2x) (d) 3cos⁡(3x)cos⁡(2x)−2cos⁡(3x)sin⁡(2x)3\cos(3x)\cos(2x)-2\cos(3x)\sin(2x)

Related theory

Browse the problem library