Home
Class 12
MATHS
Differentiate the following w.r.t. x:(e^...

Differentiate the following w.r.t. x:`(e^x)/(sinx)`

Text Solution

Verified by Experts

Let y = `(e^(x))/(sinx)`
`rArr (dy)/(dx)=(d)/(dx) ((e^(x))/(sin x))= (sinx(d)/(dx)e^(x)-e^(x)(dy)/(dx) sin x)/(sin ^(2)x)`
`(sin.x.e^(x)-e^(x). cos x)/(sin^(2)x)`
` = (e^(x) (sinx - cos x))/(sin^(2) x)`
Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • Continuity and Differentiability

    NAGEEN PRAKASHAN ENGLISH|Exercise Exercies 5.5|18 Videos

  • Continuity and Differentiability

    NAGEEN PRAKASHAN ENGLISH|Exercise Exercies 5.6|11 Videos

  • Continuity and Differentiability

    NAGEEN PRAKASHAN ENGLISH|Exercise Exercies 5.3|15 Videos

  • APPLICATIONS OF INTEGRALS

    NAGEEN PRAKASHAN ENGLISH|Exercise Miscellaneous Exercise|19 Videos

  • DETERMINANTS

    NAGEEN PRAKASHAN ENGLISH|Exercise Miscellaneous Exercise|19 Videos

Similar Questions

Explore conceptually related problems

Differentiate the following w.r.t. x: e^(x^3)

Differentiate the following w.r.t.x. x^(x^x)

Differentiate the following w.r.t. x: e^(sin^-1x)

Differentiate the following w.r.t x pie

Differentiate the following w.r.t.x. x^(x)

Differentiate the following w.r.t.x. x^(x^2)

Differentiate the following w.r.t x e^(-5)

Differentiate the following w.r.t x 2020

Differentiate the following w.r.t.x. e^(e^(x))

Differentiate the following w.r.t. x: x^(sinx)+(sinx)^(cosx)

Home
Profile