1
You visited us 1 times! Enjoying our articles? Unlock Full Access!
Question

# Let f(x)=sin−1(2x√1−x2), then

A

f(x) is continuous and differentiable at x=12

No worries! We‘ve got your back. Try BYJU‘S free classes today!
B

f(x) is continuous and differentiable at x=π4

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
C

f(x) is continuous and differentiable at x=π6

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
D

f(x) is continuous but non-differentiable at x=12

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
Open in App
Solution

## The correct options are B f(x) is continuous and differentiable at x=π4 C f(x) is continuous and differentiable at x=π6 D f(x) is continuous but non-differentiable at x=−1√2 f(x)=sin−1(2x√1−x2)Put x=sin θ⇒θ=sin−1xϵ[−π2,π2]y=sin−1(sin 2θ) =⎧⎪ ⎪ ⎪ ⎪ ⎪⎨⎪ ⎪ ⎪ ⎪ ⎪⎩−(π+2sin−1x);−1≤x<−1√22sin−1x;−1√2≤x≤1√2(π−2sin−1x);1√2<x≤1

Suggest Corrections
0
Join BYJU'S Learning Program
Related Videos