Home
Class 12
MATHS
Differentiate y=(e^x)/(1+tanx)...

Differentiate `y=(e^x)/(1+tanx)`

Text Solution

Verified by Experts

Using quotient rule, we have
`(dy)/(dx)=(d)/(dx)((e^(x))/(1+ sin x))`
`=((1+ sin x)cdot(d)/(dx)(e^(x))-e^(x)cdot(d)/(dx)(1+ sin x))/(1+ sin x )^(2)`
`=((1+sin x)cdote^(x)-e^(x)cdot(0 + cos x))/((1+ sin x)^(2))=(e^(x)(1+ sin x - cos x))/((1+ sin x )^(2))`
Promotional Banner

Topper's Solved these Questions

  • DIFFERENTIATION

    CENGAGE PUBLICATION|Exercise Solved Examples|28 Videos

  • DIFFERENTIATION

    CENGAGE PUBLICATION|Exercise Concept Application 3.1|1 Videos

  • DIFFERENTIAL EQUATIONS

    CENGAGE PUBLICATION|Exercise All Questions|578 Videos

  • DOT PRODUCT

    CENGAGE PUBLICATION|Exercise DPP 2.1|15 Videos

Similar Questions

Explore conceptually related problems

Differentiate y=(e^x)/(1+sinx)

Find the differentiation of y=e^x/(e^x+1)

Differentiate x^(sin^(-1)x) w.r.t 'x'

differentiate y=cos x+sin2x

Differentiate with respect to x, y = e^tanx

Differentiate with respect to x , y = e^(sinsqrtx)

Differentiate with respect to x , y = sin^2(2x+1)

Differentiate with respect to x, y = sin(logx)

Differentiate with respect to x, y = e^(3x) cos2x

Differentiate with respect to x , y = tan^2x