Mathematics

Mathematics

Problem

If y=(cos⁡x)(cos⁡x)cos⁡xy = (\cos x)^{(\cos x)^{\cos x}} , then show that dydx=y2tan⁡xylog⁡cos⁡x−1\frac{dy}{dx} = \frac{y^2 \tan x}{y \log \cos x - 1} .

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