What is the derivative of 8arctan(x) ?

The derivative of 8arctan(x) is 8/(x^2+1)

What is the first derivative of 8arctan(x) ?

The first derivative of 8arctan(x) is 8/(x^2+1)

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\frac{d}{d x} (8 arctan (x))

\frac{8}{x ^{2} + 1}

Solution steps

\frac{d}{d x} (8 arctan (x))

Take the constant out:

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

= 8 \frac{d}{d x} (arctan (x))

Apply the common derivative:

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

= 8 \cdot \frac{1}{x ^{2} + 1}

Simplify

8 \cdot \frac{1}{x ^{2} + 1} : \frac{8}{x ^{2} + 1}

= \frac{8}{x ^{2} + 1}

\int_{1}^{e} \frac{1}{x} d x

y = ln (\frac{1}{x x + 1})

x y^{^{'}} - 2 y - 16 = 0

y^{^{'}} = e^{5 y} sin (6 x)

x y^{^{'}} - 10 y = 0

What is the derivative of 8arctan(x) ?
The derivative of 8arctan(x) is 8/(x^2+1)
What is the first derivative of 8arctan(x) ?
The first derivative of 8arctan(x) is 8/(x^2+1)