What is the derivative of tan(x/3) ?

The derivative of tan(x/3) is sec^2(x/3) 1/3

What is the first derivative of tan(x/3) ?

The first derivative of tan(x/3) is sec^2(x/3) 1/3

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\frac{d}{d x} (tan (\frac{x}{3}))

sec^{2} (\frac{x}{3}) \frac{1}{3}

Solution steps

\frac{d}{d x} (tan (\frac{x}{3}))

Apply the chain rule:

sec^{2} (\frac{x}{3}) \frac{d}{d x} (\frac{x}{3})

= sec^{2} (\frac{x}{3}) \frac{d}{d x} (\frac{x}{3})

\frac{d}{d x} (\frac{x}{3}) = \frac{1}{3}

= sec^{2} (\frac{x}{3}) \frac{1}{3}

\int 5 d x

f (x) = \frac{x}{x + 1}

4 x y^{2}

\int \frac{x}{( 1 + x ^{4} )} d x

What is the derivative of tan(x/3) ?
The derivative of tan(x/3) is sec^2(x/3) 1/3
What is the first derivative of tan(x/3) ?
The first derivative of tan(x/3) is sec^2(x/3) 1/3