Question

If y=(√3x+1) sinx then dy/dx

Answer 1

$\frac{dy}{dx} = \frac{d}{dx} ( \sqrt{3} \: x \: sinx + sinx) \\ \\ = \sqrt{3} (xcosx + sinx) + cosx \\ \\ = \sqrt{3} x \: cosx + \sqrt{3} sinx + cosx$