Question

second derivative of x^2 log |cos x| ????
plzzz give the answer quickly ​

Answer 1

$\frac{d}{dx}x^2 log|\cos x|\\</p><p>\text{Use chain rule}\\</p><p>=2x \log|\cos x| -\frac{x^2 \sin x}{\cos x}\\</p><p>= 2x \log|\cos x|-x^2 \tan x \\</p><p>Thus, \\</p><p>\frac{d^2}{dx^2}x^2 \log|\cos x|\\</p><p>= 2 \log|\cos x| -2x \tan x -x^2 \sec^2x -2x \tan x\\</p><p>= -x^2 \sec^2 x +2 \log|cos x|-4x \tan x$

Answer 2

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