What is derivative of (sqrt(1-sin^2(x))/(x^2)) ?

The answer to derivative of (sqrt(1-sin^2(x))/(x^2)) is -(xsin(2x)+4cos^2(x))/(2x^3sqrt(cos^2(x)))

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derivative of (sqrt(1-sin^2(x))/(x^2))

\frac{d}{d x} \frac{1 - sin ^{2} ( x )}{x ^{2}}

- \frac{x sin ( 2 x ) + 4 cos ^{2} ( x )}{2 x ^{3} cos ^{2} ( x )}

Solution steps

\frac{d}{d x} \frac{1 - sin ^{2} ( x )}{x ^{2}}

\frac{d}{d x} \frac{1 - sin ^{2} ( x )}{x ^{2}} = - \frac{x sin ( 2 x ) + 4 cos ^{2} ( x )}{2 x ^{3} cos ^{2} ( x )}

= - \frac{x sin ( 2 x ) + 4 cos ^{2} ( x )}{2 x ^{3} cos ^{2} ( x )}

\frac{d}{d x} (x^{3} - 3 x^{2} - 9 x + 1)

(- 3.2) (6.2)

\int \frac{8 x ^{2} + 7 x + 8}{( x ^{2} + 1 ) ^{2}} d x

x \to 5 lim (f (x))

f (x) = lo g_{4} (x^{2} - 3 x)

What is derivative of (sqrt(1-sin^2(x))/(x^2)) ?
The answer to derivative of (sqrt(1-sin^2(x))/(x^2)) is -(xsin(2x)+4cos^2(x))/(2x^3sqrt(cos^2(x)))