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

Now,

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.

Therefore,

Kindly mail your feedback to v4formath@gmail.com

We always appreciate your feedback.

©All rights reserved. onlinemath4all.com

Recent Articles

  1. Finding the Slope of a Tangent Line Using Derivative

    Mar 01, 24 10:45 PM

    Finding the Slope of a Tangent Line Using Derivative

    Read More

  2. Implicit Differentiation

    Mar 01, 24 08:48 PM

    Implicit Differentiation - Concept - Examples

    Read More

  3. Logarithmic Differentiation

    Mar 01, 24 08:12 AM

    Logarithmic Differentiation

    Read More