Ex 5.6, 4 - Find dy/dx, x = 4t, y = 4/t - Chapter 5 Class 12 - Ex 5.6

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  1. Chapter 5 Class 12 Continuity and Differentiability
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Ex 5.6, 4 If x and y are connected parametrically by the equations without eliminating the parameter, Find 𝑑𝑦﷮𝑑𝑥﷯, 𝑥 = 4𝑡, 𝑦 = 4﷮𝑡﷯ 𝑥 = 4𝑡, 𝑦 = 4﷮𝑡﷯ 𝑑𝑦﷮𝑑𝑥﷯ = 𝑑𝑦﷮𝑑𝑥﷯ × 𝑑𝑡﷮𝑑𝑡﷯ 𝑑𝑦﷮𝑑𝑥﷯ = 𝑑𝑦﷮𝑑𝑡﷯ × 𝑑𝑡﷮𝑑𝑥﷯ 𝑑𝑦﷮𝑑𝑥﷯ = 𝑑𝑦﷮𝑑𝑡﷯﷮ 𝑑𝑥﷮𝑑𝑡﷯﷯ Calculating 𝒅𝒚﷮𝒅𝒕﷯ 𝑦 = 4﷮𝑡﷯ 𝑑𝑦﷮𝑑𝑡﷯ = 𝑑﷮𝑑𝑡﷯ 4﷮𝑡﷯﷯ 𝑑𝑦﷮𝑑𝑡﷯ = 4 𝑑﷮𝑑𝑡﷯ 1﷮𝑡﷯﷯ 𝑑𝑦﷮𝑑𝑡﷯ = − 4﷮ 𝑡﷮2﷯﷯

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