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Find dy/dx, when x = (1 - t^2)/(1 + t^2) and y = 2t/(1 + t^2)

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+1 vote

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asked Feb 28, 2020 in Differentiation by Prerna01 (50.9k points)

Find dy/dx, when x = (1 - t²)/(1 + t²) and y = 2t/(1 + t²)

differentiation
class-12

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1 Answer

+2 votes

answered Feb 28, 2020 by RahulYadav (52.1k points)
selected Feb 28, 2020 by Prerna01

Best answer

Given as x = (1 - t²)/(1 + t²)

On differentiating x with respect to t using quotient rule

y = 2t/(1 + t²)

On differentiating y with respect to t using quotient rule

On dividing (2) by (1)

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