What is (\partial)/(\partial x)(a/s cos^2(x)) ?

The answer to (\partial)/(\partial x)(a/s cos^2(x)) is -(asin(2x))/s

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(\partial)/(\partial x)(a/s cos^2(x))

\frac{\partial}{\partial x} (\frac{a}{s} cos^{2} (x))

- \frac{a sin ( 2 x )}{s}

Solution steps

\frac{\partial}{\partial x} (\frac{a}{s} cos^{2} (x))

Treat

a, s

as a constant

Take the constant out:

(a \cdot f)^{'} = a \cdot f^{'}

= \frac{a}{s} \frac{\partial}{\partial x} (cos^{2} (x))

Apply the chain rule:

2 cos (x) \frac{\partial}{\partial x} (cos (x))

= 2 cos (x) \frac{\partial}{\partial x} (cos (x))

\frac{\partial}{\partial x} (cos (x)) = - sin (x)

= \frac{a}{s} \cdot 2 cos (x) (- sin (x))

Simplify

\frac{a}{s} \cdot 2 cos (x) (- sin (x)) : - \frac{a sin ( 2 x )}{s}

= - \frac{a sin ( 2 x )}{s}

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\frac{\partial}{\partial x} (2 x e^{4 x y})

\int x^{3} (4 - x^{2})^{\frac{1}{4}} d x

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What is (\partial)/(\partial x)(a/s cos^2(x)) ?
The answer to (\partial)/(\partial x)(a/s cos^2(x)) is -(asin(2x))/s