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If √(1 – x²) + √(1 – y²) = a (x – y), prove that dy/dx = √(1 – y²)/√(1 – x²).
If y = (tan x)ˣ, then find dy/dx.
Given that y = (sin x)ˣ · xˢⁱⁿ ˣ + aˣ, find dy/dx.
Find dy/dx, if (cos x)^y = (cos y)^x.
If yˣ = xʸ, then find dy/dx.
Find dy/dx, if y = (cos x)ˣ + cos⁻¹ √x.
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