Home
Class 11
PHYSICS
If y=e^(x).cotx then (dy)/(dx) will be...

If `y=e^(x).cotx` then `(dy)/(dx)` will be

A

`e^(x)cot x-cosec^(2)x`

B

`e^(x) cosec^(2)x`

C

`e^(x)[cot x-cosec^(2)x]`

D

`e^(x)cot x`

Text Solution

Verified by Experts

The correct Answer is:
C
`y=e^(x).cotx`
`(dy)/(dx)=e^(x)(d)/(dx)(cotx)+cotx(d)/(dx)(e^(x))`
`=e^(x)(-cosec^(2)x)+cotxe^(x)`
`=e^(x)[cotx-cosec^(2)x]`
Promotional Banner

Topper's Solved these Questions

  • DAILY PRACTICE PROBLEMS

    RESONANCE|Exercise dpp 2 PHYSICS|1 Videos

  • DAILY PRACTICE PROBLEMS

    RESONANCE|Exercise DPP NO. 5 Physics|6 Videos

  • CURRENT ELECTRICITY

    RESONANCE|Exercise Exercise|54 Videos

  • ELASTICITY AND VISCOCITY

    RESONANCE|Exercise Advanced Level Problems|9 Videos

Similar Questions

Explore conceptually related problems

If y = e^(x). cot x then (dy)/(dx) will be

If y=e^(x)+x then (dy)/(dx)=

If y=e^(x)x^(2) then (dy)/(dx)=

If y=cot^(-1)(cotx), then (dy)/(dx) is

If y=e^(x^(x)), then (dy)/(dx) is

If y= x^(e^(x)) ,then (dy)/(dx) =

If y=e^(sin^(2)x) then (dy)/(dx)=

If y= e^(cosec _x) ,then (dy)/(dx) =

if y^(x)=e^(y-x) then (dy)/(dx)