Find the Derivative - d/dx y=tan(pix)

Problem

d()/d(x)*tan(π*x)

Solution

1. Identify the outer function and the inner function to apply the Chain Rule. The outer function is tan(u) and the inner function is u=π*x

2. Apply the Chain Rule by taking the derivative of the outer function with respect to the inner function and multiplying it by the derivative of the inner function.

3. Differentiate the outer function tan(u) which results in sec2(u)

4. Differentiate the inner function π*x with respect to x which results in π

5. Combine the results and substitute u=π*x back into the expression.

Final Answer

d(tan(π*x))/d(x)=π*sec2(π*x)

Want more problems? Check here!