What is the derivative of 10arctan(x) ?

The derivative of 10arctan(x) is (10)/(x^2+1)

What is the first derivative of 10arctan(x) ?

The first derivative of 10arctan(x) is (10)/(x^2+1)

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\frac{d}{d x} (10 arctan (x))

\frac{10}{x ^{2} + 1}

Solution steps

\frac{d}{d x} (10 arctan (x))

Take the constant out:

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

= 10 \frac{d}{d x} (arctan (x))

Apply the common derivative:

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

= 10 \cdot \frac{1}{x ^{2} + 1}

Simplify

10 \cdot \frac{1}{x ^{2} + 1} : \frac{10}{x ^{2} + 1}

= \frac{10}{x ^{2} + 1}

x \to - 2 lim (4 - x)

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

\int_{- 3}^{- 1} 2 x^{2} + 3 d x

e^{p} (p + p)

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

What is the derivative of 10arctan(x) ?
The derivative of 10arctan(x) is (10)/(x^2+1)
What is the first derivative of 10arctan(x) ?
The first derivative of 10arctan(x) is (10)/(x^2+1)