What is the derivative of atan(x) ?

The derivative of atan(x) is asec^2(x)

What is the first derivative of atan(x) ?

The first derivative of atan(x) is asec^2(x)

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

a sec^{2} (x)

Solution steps

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

Take the constant out:

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

= a \frac{d}{d x} (tan (x))

Apply the common derivative:

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

= a sec^{2} (x)

\int \frac{t ^{2}}{a ^{4} + t ^{2}} d t

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

f (x) = (x^{2} - 4) \cdot (x + 4)

\frac{d}{d x} (\frac{5 x}{6})

\int 2^{x} + 4 sinh (x) d x

What is the derivative of atan(x) ?
The derivative of atan(x) is asec^2(x)
What is the first derivative of atan(x) ?
The first derivative of atan(x) is asec^2(x)