CBSE

MATHEMATICS · Single correct · CBSE · Mathematics · Continuity and Differentiability · Continuity and Differentiability

Problem

If y=(sin⁡x)(sin⁡x)(sin⁡x)…y = (\sin x)^{(\sin x)^{(\sin x)^{\dots}}} , then dydx=\frac{dy}{dx} = (a) y2cot⁡x1−ylog⁡sin⁡x\frac{y^2 \cot x}{1 - y \log \sin x} (b) y2cot⁡x1+ylog⁡sin⁡x\frac{y^2 \cot x}{1 + y \log \sin x} (c) ycot⁡x1−ylog⁡sin⁡x\frac{y \cot x}{1 - y \log \sin x} (d) ycot⁡x1+ylog⁡sin⁡x\frac{y \cot x}{1 + y \log \sin x}

Related theory

Browse the problem library