Derivative of e to the Power of Negative x

We know the derivative of ex, which is ex.

(ex)' = ex

We can find the derivative of e-x using chain rule.

If y = e-x, find ᵈʸ⁄d.

y = e-x

Let t = -x.

Then, we have

y = et

Now, y = et and t = -x. That is, y is a function of t and t is a function of x.  

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

Substitute y = et and t = -x.

Substitute t = -x.

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