What is (\partial)/(\partial x)(sec(x/2)) ?

The answer to (\partial)/(\partial x)(sec(x/2)) is sec(x/2)tan(x/2) 1/2

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(\partial)/(\partial x)(sec(x/2))

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

sec (\frac{x}{2}) tan (\frac{x}{2}) \frac{1}{2}

Solution steps

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

Apply the chain rule:

sec (\frac{x}{2}) tan (\frac{x}{2}) \frac{\partial}{\partial x} (\frac{x}{2})

= sec (\frac{x}{2}) tan (\frac{x}{2}) \frac{\partial}{\partial x} (\frac{x}{2})

\frac{\partial}{\partial x} (\frac{x}{2}) = \frac{1}{2}

= sec (\frac{x}{2}) tan (\frac{x}{2}) \frac{1}{2}

\int (x + 1)^{3} d x

\frac{d y}{d t} = \frac{( y + 2 )}{2 t + 1}

\frac{\partial}{\partial v} (3 cos (u))

- 16 (x^{- 6} - x^{12})

\frac{d}{d x} (\frac{x e ^{x}}{x ^{2} + 1})

What is (\partial)/(\partial x)(sec(x/2)) ?
The answer to (\partial)/(\partial x)(sec(x/2)) is sec(x/2)tan(x/2) 1/2