Derivative of e to the Power Tan 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 = etanx

Let u = x.

y = etanu

Let v = tanu.

y = ev


y = ev ----> y is a function of v

v = tanu ----> 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 = tanu and u = x.

Substitute v = tanu.

Substitute u = x.


Kindly mail your feedback to

We always appreciate your feedback.

©All rights reserved.

Recent Articles

  1. Adaptive Learning Platforms

    May 26, 23 12:27 PM

    Adaptive Learning Platforms: Personalized Mathematics Instruction with Technology

    Read More

  2. Simplifying Expressions with Rational Exponents Worksheet

    May 21, 23 07:40 PM

    Simplifying Expressions with Rational Exponents Worksheet

    Read More

  3. Simplifying Rational Expressions Worksheet

    May 20, 23 10:53 PM

    Simplifying Rational Expressions Worksheet

    Read More