Question

differentiate w.r.t.x sin-¹ (x²)​

Answer 1

Answer:

hope it is usefull

Step-by-step explanation:

Solution

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Let y=sin

−1

(x

2

−1)

Differentiating w.r.t. x,

dx

dy

=

1−(x

2

−1)

2

1

(2x)

dx

dy

=

1−(x

2

−1)

2

2x

Answer 2

Answer:

$let \: y = \sin {}^{ - 1} (x {}^{2} - 1) \\ \frac{dy}{dx} = \frac{1}{ \sqrt{ 1 - (x {}^{2} - 1) {}^{2} } } (2x) \\ dy}{dx} = \frac{1}{ \sqrt{ 1 - (x {}^{2} - 1) {}^{2} } }$