How do you differentiate f(x)=sec(-e^(sqrtx) ) using the chain rule?

1 Answer
Jun 9, 2016

(sec ( e^ (sqrt(x))) * tan ( e^ (sqrt(x))) * e^ (sqrt(x))) /(2(sqrt(x))

Explanation:

d/dx [ sec ( - e^(sqrt(x))) ]

sec ( e^ (sqrt(x))) * tan ( e^ (sqrt(x))) * d/dx [ ( e^ (sqrt(x))) ]

sec ( e^ (sqrt(x))) * tan ( e^ (sqrt(x))) * e^ (sqrt(x)) * d/dx[ sqrt(x) ]

sec ( e^ (sqrt(x))) * tan ( e^ (sqrt(x))) * e^ (sqrt(x)) * 1/(2(sqrt(x))

(sec ( e^ (sqrt(x))) * tan ( e^ (sqrt(x))) * e^ (sqrt(x))) /(2(sqrt(x))