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

1 Answer
Feb 22, 2017

Answer:

I tried this:

Explanation:

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.

I tried using colours to discriminate between the three differentials:

#(df(x))/(dx)=color(red)(e^(csc(sqrt(x)))color(blue)((-csc(sqrt(x))cot(sqrt(x))))color(green)(1/(2sqrt(x))#