Differentiate the following functions with respect to x:
sinx cosx

Open in App

Solution

We have,

$\frac{d}{d x} (s i n x c o s x)$

$c o s x \frac{d}{d x} (s i n x) + s i n x \frac{d}{d x} (c o s x)$ [Using product rule]

$= c o s x (c o s x) + s i n x (- s i n x)$

$= c o s^{2} x - s i n^{2} x$ $[∵ c o s 2 x = c o s^{2} x - s i n^{2} x]$

$= c o s 2 x$

Suggest Corrections

Similar questions

x^{sin x} + (sin x)^{cos x}

sin x^{cos x} + cos x^{sin x}

x

x

x^{sin x} + (sin x)^{cos x}

{(\cos x)}^{\sin x}

{(\sin x)}^{\cos x}

Differentiate the given functions w.r.t. x.

$y = x^{s i n x} + s i n x^{c o s x}$

Join BYJU'S Learning Program