Derivative of e to the Power Cot Square Root x

We know the derivative of ex, which is ex.

(ex)' = ex

We can find the derivative of etanx using chain rule.

Find ᵈʸ⁄d, if

y = ecotx

Let u = x.

y = ecotu

Let v = cotu.

y = ev


y = ev ----> y is a function of v

v = cotu ----> v is is a function of u

u = x ----> u is is a function of x

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

Substitute y = ev, v = cotu and u = x.

Substitute v = cotu.

Substitute u = x.


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