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Given that 1/y + 1/x = 1/12 and y decreases at a rate of 1 cms⁻¹, find the rate of change of x when x = 5 cm and y = 1 cm
If x^y = e^(x-y), prove that dy/dx = logx/(1+logx)²
If x = tan((1/a) log y) then show that (1 + x²) d²y/dx² + (2x - a) dy/dx = 0
If xʸ = e^(x−y), prove that dy/dx = logx/(1+logx)²
If x = tan((1/a) logy) then show that (1 + x²) d²y/dx² + (2x − a) dy/dx = 0
Find dy/dx if x³ + y³ = 3axy
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