Q. 143.8( 4 Votes )

Differentiate <sp

Answer :

Let and v = sec–1x

We need to differentiate u with respect to v that is find.

We have

But, cos2θ = cos2θ – sin2θ and sin2θ = 2sinθcosθ.

[ sin2θ + cos2θ = 1]

Dividing the numerator and denominator with, we get

On differentiating u with respect to x, we get

We know and derivative of a constant is 0.

Now, we have v = sec–1x

On differentiating v with respect to x, we get

We know

We have


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 Experts
Dedicated counsellor for each student
24X7 Doubt Resolution
Daily Report Card
Detailed Performance Evaluation
view all courses

Show that of all Mathematics - Board Papers

Find the value ofMathematics - Board Papers

If x sin (a + y) Mathematics - Exemplar

The function f(x)Mathematics - Exemplar

Show that of all Mathematics - Board Papers

If the function fMathematics - Board Papers

Find <img wMathematics - Exemplar

Let f(x) = |sinx|Mathematics - Exemplar

The derivative ofMathematics - Exemplar