Q. 444.5( 2 Votes )

# Differentiate the following functions with respect to x:

e^{x} log(sin 2x)

Answer :

Let y = e^{x} log(sin 2x)

On differentiating y with respect to x, we get

We have (uv)’ = vu’ + uv’ (product rule)

We know and

[chain rule]

We have

However,

Thus,

Rate this question :

How useful is this solution?

We strive to provide quality solutions. Please rate us to serve you better.

Try our Mini CourseMaster Important Topics in 7 DaysLearn from IITians, NITians, Doctors & Academic Expertsview all courses

Dedicated counsellor for each student

24X7 Doubt Resolution

Daily Report Card

Detailed Performance Evaluation

RELATED QUESTIONS :

If then is equal to

Mathematics - ExemplarDifferentiate each of the following w.r.t. x

Mathematics - Exemplar

Differentiate each of the following w.r.t. x

Mathematics - Exemplar

Differentiate each of the following w.r.t. x

Mathematics - Exemplar

Differentiate the following functions with respect to x:

e^{tan 3x}

Differentiate each of the following w.r.t. x

Mathematics - Exemplar

Differentiate each of the following w.r.t. x

Mathematics - Exemplar

Differentiate the following functions with respect to x:

log(cosec x – cot x)

RD Sharma - Volume 1Differentiate the following functions with respect to x:

RD Sharma - Volume 1

Differentiate each of the following w.r.t. x

(x + 1)^{2} (x + 2)^{3} (x + 3)^{4}