Question

Differentiate the function.

y= e^(k tan(sqrt(7 x)))

y'(x) =

Answer 1

y= e^{k tan(sqrt(7 x))}
y'(x) = k (tan(sqrt(7 x))' e^{k tan(sqrt(7 x))} = 7k/2* cos^-2(sqrt(7 x))*1/sqrt(7 x)*e^{k tan(sqrt(7 x))}