Differentiate the following functions with respect to x:
ex log(sin 2x)
Let y = ex log(sin 2x)
On differentiating y with respect to x, we get
We have (uv)’ = vu’ + uv’ (product rule)
We know
and 
[chain rule]
We have
However, 
Thus, 
44
Differentiate the following functions with respect to x:
ex log(sin 2x)
Let y = ex log(sin 2x)
On differentiating y with respect to x, we get
We have (uv)’ = vu’ + uv’ (product rule)
We know and
[chain rule]
We have
However,
Thus,