Derivative of e to the Power Square Root Cosx

We know the derivative of ex, which is ex.

(ex)' = ex

We can find the derivative of e√cosx using chain rule.

Find ᵈʸ⁄d, if

y = e√cosx

Let u = cosx.

y = e√u

Let v = √u.

y = ev


y = ev ----> y is a function of v

v = √u ----> v is is a function of u

u = cosx ----> u is is a function of x

By chain rule, the derivative of y with respect to x :

Substitute y = ev, v = √u and u = cosx.

Substitute v = √u.

Substitute u = cosx.


Kindly mail your feedback to

We always appreciate your feedback.

©All rights reserved.

Recent Articles

  1. SAT Math Videos (Part 7 - Calculator)

    Jun 13, 24 03:21 AM

    SAT Math Videos (Part 7 - Calculator)

    Read More

  2. SAT Math Videos - Part 8 (Calculator)

    Jun 13, 24 02:35 AM

    SAT Math Videos - Part 8 (Calculator)

    Read More

  3. Velocity and Acceleration

    Jun 13, 24 02:12 AM

    Velocity and Acceleration

    Read More