Home
Class 12
MATHS
Differentiate. e^(e^x)...

Differentiate.
`e^(e^x)`

Text Solution

Verified by Experts

`y=6^(e^x)`
Then `dy/dx=e^(e^x)xxd/dx(e^x)=e^(e^x).e^x=e^((x+e^x))`
Promotional Banner

Topper's Solved these Questions

  • CONTINUITY AND DIFFERENTIABILITY

    MBD PUBLICATION|Exercise QUESTION TYPE|4 Videos
  • CONIC SECTIONS

    MBD PUBLICATION|Exercise QUESTION BANK|179 Videos
  • DETERMINATES

    MBD PUBLICATION|Exercise QUESTION BANK|176 Videos

Similar Questions

Explore conceptually related problems

Differentiate. x^((x^x))

.Differentiate. e^x(tanx-cot x)

Differentiate e^(x^(2)) from definition

Differentiate. (x^e)^(e^x)+(e^x)^(x^e)

Differentiate. sec^(-1)(e^x+x)

Differentiate e^(3x)*cos2x w.r.t. x.

Differentiate. x^2e^xcosec x

Find the points where the following function are not differentiable. e^(|x|)

Differentiate (e^x+e^(-x))/(x^2+1)

Differentiate e^(sqrt(x)) w.r.t. x.