If , then show that…

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

Problem

If x=tan⁡(1alog⁡y)x = \tan \left( \frac{1}{a} \log y \right) , then show that (1+x2)d2ydx2=(a−2x)dydx(1+x^2) \frac{d^2 y}{dx^2} = (a-2x) \frac{dy}{dx} .

Related theory

Browse the problem library