Differentiate sin−1(1+x22x)+cos−1(1+x21−x2) , with respect to x , if x∈(0, 1).

Click here to view the solution.

Get 2 FREE Instant-Explanations on Filo with code FILOAPP

Differentiate {{}^{{-{1}}}{({{{2}{x}}}{{{1}+{x}^{{2}}}})}}+{{}

Question

Differentiate $sin^{- 1} (\frac{2 x}{1 + x ^{2}}) + cos^{- 1} (\frac{1 - x ^{2}}{1 + x ^{2}})$ , with respect to $x$ , if $x \in (0, 1)$ .

Views: 793 students

Found 6 tutors discussing this question

Mila Discussed

Differentiate

sin^{- 1} (\frac{2 x}{1 + x ^{2}}) + cos^{- 1} (\frac{1 - x ^{2}}{1 + x ^{2}})

, with respect to

x

, if

x \in (0, 1)

8 mins ago

Discuss this question LIVE

8 mins ago

One destination to cover all your homework and assignment needs

Learn Practice Revision Succeed

Instant 1:1 help, 24x7

60, 000+ Expert tutors

Textbook solutions

Big idea maths, McGraw-Hill Education etc

Essay review

Get expert feedback on your essay

Schedule classes

High dosage tutoring from Dedicated 3 experts

Trusted by 4 million+ students

Stuck on the question or explanation?

Connect with our math tutors online and get step by step solution of this question.

231 students are taking LIVE classes

Question Text

Differentiate

sin^{- 1} (\frac{2 x}{1 + x ^{2}}) + cos^{- 1} (\frac{1 - x ^{2}}{1 + x ^{2}})

, with respect to

x

, if

x \in (0, 1)