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Neat Calculus Proof: Derivative of x·sin⁻¹(x) + √(1−x²) = sin⁻¹(x)

Neat Calculus Proof: Derivative of x·sin⁻¹(x) + √(1−x²) = sin⁻¹(x)

In this video, we solve a derivative problem involving inverse sine (arcsin) and show that: 👉 If y = x × sin⁻¹(x) + √(1 − x²), then the derivative dy/dx = sin⁻¹(x). We’ll apply the product rule, chain rule, and some neat cancellations to arrive at the final result. Perfect for students preparing for JEE, IB Math, AP Calculus ...

1.4K views2 months ago

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