Derivative of e to the Power Cos Square Root x

We know the derivative of ex, which is ex.

(ex)' = ex

We can find the derivative of esinx using chain rule.

Find ᵈʸ⁄d, if

y = ecosx

Let u = x.

y = ecosu

Let v = cosu.

y = ev

Now,

y = ev ----> y is a function of v

v = cosu ----> 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 = cosu and u = x.

Substitute v = cosu.

Substitute u = x.

Therefore,

Kindly mail your feedback to v4formath@gmail.com

We always appreciate your feedback.

©All rights reserved. onlinemath4all.com

Recent Articles

  1. SAT Math Preparation Videos (Part - 2)

    Jun 24, 24 01:38 AM

    SAT Math Preparation Videos (Part - 2)

    Read More

  2. Problems on Square Root Equations

    Jun 22, 24 10:26 PM

    Problems on Square Root Equations

    Read More

  3. SAT Math Practice Videos (Part - 4)

    Jun 22, 24 05:38 AM

    satparallellines.png
    SAT Math Practice Videos (Part - 4)

    Read More