# How do you differentiate f(x)=e^(cscsqrtx) using the chain rule.?

Feb 22, 2017

Here you need to evaluate three differential starting from the exponential (leaving the exponent as it is) and multiply by the derivative of the $\csc$ again leaving the argument as it is and finally times the differential of the root.
(df(x))/(dx)=color(red)(e^(csc(sqrt(x)))color(blue)((-csc(sqrt(x))cot(sqrt(x))))color(green)(1/(2sqrt(x))