Question

Tan-¹(x/√1-x²) then dy/ DX is equal to

Answer 1

Answer:

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Step-by-step explanation:

ANSWER

Let y = tan-¹(x/√1-x²)

Take x = sinB

√1-x² = √1-sin²B = cosB

x/√1-x² = sinB / cosB = tanB

So

y = tan-¹(x/√1-x²) = tan-¹ tanB = B = sin-¹ x

So

dy/dx = 1/√1-x²