Question

Differentiate the following functions with respect to x

sin (ax + b).

Answer 1

Ley y = sin (ax + b)

Differentiate both sides w.r.t x, we get

$\frac{dy}{dx}=\frac{d}{dx}sin(ax+b)=cos(ax+b)\frac{d}{dx}(ax+b)$(By chain rule)

= cos (ax + b) {a $\times$1 + 0} = a cos(ax + b)