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lyudmila [28]
3 years ago
9

Find the derivative of y = arcsin(x)​

Mathematics
2 answers:
natta225 [31]3 years ago
8 0

Answer:

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

Step-by-step explanation:

As khown the derivative of arcsin(x) is;

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

mojhsa [17]3 years ago
7 0

Answer:

1 /√( 1 - x^2).

Step-by-step explanation:

y = arcsin x

x = sin y

dx/dy = cos y

dy/dx = 1 / cos y

Now cos y = √( 1 - sin^2 y)

but sin y = x so

cos y = √( 1 - x^2).

So dy/dx = 1 / √( 1 - x^2).

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