Assertion :Statement 1 : f′(2)=5−3 Reason :Statement 2 : sin−1(1+x22x)=π−2tan−1x,∀x>1

Get 2 FREE Instant-Explanations on Filo with code FILOAPP

Assertion :Statement 1 : f'(2) = {-3}{5} Reason :Statement 2 :

Question

Assertion :Statement 1 : $f^{'} (2) = \frac{- 3}{5}$
Reason :Statement 2 : $s i n^{- 1} (\frac{2 x}{1 + x ^{2}}) = π - 2 tan^{- 1} x, \forall x > 1$

Both the statements are TRUE, and STATEMENT 2 is the correct explanation of STATEMENT 1

Both the statements are TRUE, and STATEMENT 2 is NOT the correct explanation of STATEMENT 1

STATEMENT 1 is TRUE and STATEMENT 2 is FALSE

STATEMENT 1 is FALSE and STATEMENT 2 is TRUE

Views: 960 students

Found 2 tutors discussing this question

Owen Discussed

Assertion :Statement 1 :

f^{'} (2) = \frac{- 3}{5}

Reason :Statement 2 :

s i n^{- 1} (\frac{2 x}{1 + x ^{2}}) = π - 2 tan^{- 1} x, \forall x > 1

14 mins ago

Discuss this question LIVE

14 mins ago

f (x) = s i n^{- 1} (\frac{2 x}{1 + x ^{2}}) = π - 2 tan^{- 1} x, x \geq 1

\Rightarrow f^{'} (x) = \frac{- 2}{1 + x ^{2}} \Rightarrow

f^{'} (2) = \frac{- 2}{5}

Thus the statement 1 is true, statement 2 is true and statement 2 is the correct explanation of statement 1.

Was this solution helpful?

150

Report

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 maths tutors online and get step by step solution of this question.

231 students are taking LIVE classes

Question Text	Assertion :Statement 1 : $f^{'} (2) = \frac{- 3}{5}$ Reason :Statement 2 : $s i n^{- 1} (\frac{2 x}{1 + x ^{2}}) = π - 2 tan^{- 1} x, \forall x > 1$
Answer Type	Text solution:1
Upvotes	150