What is the derivative of 12arctan(sqrt(s)) ?

The derivative of 12arctan(sqrt(s)) is 6/(sqrt(s)(s+1))

What is the first derivative of 12arctan(sqrt(s)) ?

The first derivative of 12arctan(sqrt(s)) is 6/(sqrt(s)(s+1))

Popular >

derivative of

12 arctan (s)

\frac{6}{s ( s + 1 )}

Solution steps

\frac{d}{d s} (12 arctan (s))

Take the constant out:

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

= 12 \frac{d}{d s} (arctan (s))

Apply the chain rule:

\frac{1}{( s ) ^{2} + 1} \frac{d}{d s} (s)

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

\frac{d}{d s} (s) = \frac{1}{2 s}

= 12 \cdot \frac{1}{( s ) ^{2} + 1} \cdot \frac{1}{2 s}

Simplify

12 \cdot \frac{1}{( s ) ^{2} + 1} \cdot \frac{1}{2 s} : \frac{6}{s ( s + 1 )}

= \frac{6}{s ( s + 1 )}

\int_{1}^{2} \frac{2}{( x - 5 ) ^{3}} d x

\int 4^{x} - \frac{1}{3 x} d x

8 (ln (y)) y^{^{'}} - x^{9} y = 0

\int \frac{3 x ^{5} + 2}{- 5 x ^{5} + 5 x} d x

\frac{d}{d x} (4 e^{x})

What is the derivative of 12arctan(sqrt(s)) ?
The derivative of 12arctan(sqrt(s)) is 6/(sqrt(s)(s+1))
What is the first derivative of 12arctan(sqrt(s)) ?
The first derivative of 12arctan(sqrt(s)) is 6/(sqrt(s)(s+1))