What is the derivative of tan(x/5) ?

The derivative of tan(x/5) is sec^2(x/5) 1/5

What is the first derivative of tan(x/5) ?

The first derivative of tan(x/5) is sec^2(x/5) 1/5

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\frac{d}{d x} (tan (\frac{x}{5}))

sec^{2} (\frac{x}{5}) \frac{1}{5}

Solution steps

\frac{d}{d x} (tan (\frac{x}{5}))

Apply the chain rule:

sec^{2} (\frac{x}{5}) \frac{d}{d x} (\frac{x}{5})

= sec^{2} (\frac{x}{5}) \frac{d}{d x} (\frac{x}{5})

\frac{d}{d x} (\frac{x}{5}) = \frac{1}{5}

= sec^{2} (\frac{x}{5}) \frac{1}{5}

\frac{d}{d x} ((11 - 3 x)^{\frac{2}{3}} (x - 2)^{4})

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

x \to 0 lim ((sin (x))^{2})

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

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

What is the derivative of tan(x/5) ?
The derivative of tan(x/5) is sec^2(x/5) 1/5
What is the first derivative of tan(x/5) ?
The first derivative of tan(x/5) is sec^2(x/5) 1/5