Home
Class 12
MATHS
Find derivatives of the following functi...

Find derivatives of the following functions `e^ sqrt(ax)`

Text Solution

Verified by Experts

`y = e^ sqrt(ax)
dy/dx = e^ sqrt(ax). d/dx (sqrt(ax)) [because d/dx (e^u) = e^u (du)/dx]
= e^ sqrt (ax). 1/(2sqrt(ax). d/dx (ax)) [because d/dx sqrt u = 1/(2sqrt u) (du)/dx
(e^(sqrt ax).a)/(2sqrt a sqrt x) = (sqrt a. e^ sqrt(ax))/(2 sqrt 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

Find derivatives of the following function. x^x

Find derivatives of the following functions sqrt log x

Find derivatives of the following functions. e^(sin t)

Find derivatives of the following functions. sqrt(ax^2 + bx + c)

Find derivatives of the following functions. sqrt(tan(3z))

Find derivatives of the following functions. tan^3x

Find derivatives of the following functions. sin^4x

Find derivatives of the following functions sqrt((a^ sqrt x))

Find derivatives of the following functions. a^(In x)

Find derivatives of the following functions.In tan x