Differentiate the following functions with respect to x.
sin (x2+5)
Let y = sin (x2+5)
Differentiate both sides w.r.t. x, we get
dydx=ddx(sin (x2+5))=cos (x2+5)ddx(x2+5) (By using chain rule)
= cos (x2+5)(2x+0)=2 x cos (x2+5)
Differentiate the following functions with respect to x :
x5−cos xsin x
x33−2√x+5x2