If and , then prove that…

MATHEMATICS · Subjective · A Level · Mathematics · Differentiation · Differentiation

Problem

If x=a(t+1t)x = a \left( t + \frac{1}{t} \right) and y=a(t−1t)y = a \left( t - \frac{1}{t} \right) , then prove that dydx=x\frac{dy}{dx} = x .

Related theory

Browse the problem library