If , show that:

Mathematics20175 marksDerivation

If $y = \cos(\sin x)$, show that: $\frac{d^2y}{dx^2} + \tan x \frac{dy}{dx} + y \cos^2 x = 0$

Given: $y = \cos(\sin x)$

To show: $\frac{d^2y}{dx^2} + \tan x \frac{dy}{dx} + y \cos^2 x = 0$

Answer

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Continuity, Differentiability and Differentiation