What is the derivative of tan(x/2) ?

The derivative of tan(x/2) is sec^2(x/2) 1/2

What is the first derivative of tan(x/2) ?

The first derivative of tan(x/2) is sec^2(x/2) 1/2

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derivative of

tan (\frac{x}{2})

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

Solution steps

\frac{d}{d x} (tan (\frac{x}{2}))

Apply the chain rule:

sec^{2} (\frac{x}{2}) \frac{d}{d x} (\frac{x}{2})

= sec^{2} (\frac{x}{2}) \frac{d}{d x} (\frac{x}{2})

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

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

sin (3 x)

\int (cos^{4} (x)) d x

\int_{0}^{4.5} 130 x d x

\int_{π}^{2 π} sin^{2} (x) d x

\frac{d}{d x} (\frac{sin ( 2 x )}{e ^{x}})

What is the derivative of tan(x/2) ?
The derivative of tan(x/2) is sec^2(x/2) 1/2
What is the first derivative of tan(x/2) ?
The first derivative of tan(x/2) is sec^2(x/2) 1/2