Find the derivative of the function
y = e^k tan(√3x)
Solution:
Using the chain rule, we can find the derivative of y with respect to x.
First, let's find the derivative of e^k tan(√3x) with respect to x.
The derivative of e^k tan(√3x) with respect to x is given by:
y'(x) = k e^k tan(√3x) * sec^2(√3x) * √3
Therefore, the correct derivative of the function y = e^k tan(√3x) is:
y'(x) = k e^k tan(√3x) * sec^2(√3x) * √3