Question

if y = sin^-1(tanx) find y'(0)​

Answer 1

Answer:

sec x

Step-by-step explanation:

From rules of differentiation for inverse hyperbolic trig functions and normal trig functions, we get

d

d

x

sinh

−

1

(

tan

x

)

=

1

√

1

+

tan

2

x

⋅

sec

2

x

=

1

√

sec

2

x

⋅

sec

2

x

=

sec

x

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