Derivative of e to the Power Square Root Cscx

We know the derivative of ex, which is ex.

(ex)' = ex

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

Find ᵈʸ⁄d, if

y = e√cscx

Let u = cscx.

y = e√u

Let v = √u.

y = ev

Now,

y = ev ----> y is a function of v

v = √u ----> v is is a function of u

u = cscx ----> 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 = cscx.

Substitute v = √u.

Substitute u = cscx.

Therefore,

Kindly mail your feedback to v4formath@gmail.com

We always appreciate your feedback.

©All rights reserved. onlinemath4all.com

Recent Articles

  1. Digital SAT Math Problems and Solutions (Part - 161)

    May 11, 25 12:34 AM

    Digital SAT Math Problems and Solutions (Part - 161)

    Read More

  2. Quadratic Equation Problems with Solutions (Part - 4)

    May 10, 25 09:56 AM

    Quadratic Equation Problems with Solutions (Part - 4)

    Read More

  3. Digital SAT Math Problems and Solutions (Part - 160)

    May 10, 25 12:14 AM

    digitalsatmath202.png
    Digital SAT Math Problems and Solutions (Part - 160)

    Read More