If y= \sin ^{-1} x+\cos ^{-1} x, find \frac{d y}{d x}.

CBSE Class 12 Math 2019 All India Set 1 Solved Paper

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Question : 2 of 29

Marks: +1, -0

If y=sin‌−1x+cos−1x, find ‌

dy

dx

.

Solution:

y=sin‌−1x+cos−1x
⇒‌

dy

dx

=‌

d

dx

(sin‌−1x+cos−1x)
=‌

d

dx

(sin‌−1x)+‌

d

dx

(cos−1x)
=‌

1

√1−x2

−‌

1

√1−x2

=0
Therefore, ‌

dy

dx

=0

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