Derivative of e to the Power Secx

We know the derivative of ex, which is ex.

(ex)' = ex

We can find the derivative of esecx using chain rule.

If y = esecx, find ᵈʸ⁄d.

y = esecx

Let u = secx.

Then, we have

y = eu

Now, y = eu and u = secx. That is, y is a function of u and u is a function of x.

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

Substitute y = eu and u = secx.

Substitute u = secx.


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