What is the derivative of 7arctan(sqrt(x)) ?

The derivative of 7arctan(sqrt(x)) is 7/(2sqrt(x)(x+1))

What is the first derivative of 7arctan(sqrt(x)) ?

The first derivative of 7arctan(sqrt(x)) is 7/(2sqrt(x)(x+1))

Popular >

\frac{d}{d x} (7 arctan (x))

\frac{7}{2 x ( x + 1 )}

Solution steps

\frac{d}{d x} (7 arctan (x))

Take the constant out:

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

= 7 \frac{d}{d x} (arctan (x))

Apply the chain rule:

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

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

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

= 7 \cdot \frac{1}{( x ) ^{2} + 1} \cdot \frac{1}{2 x}

Simplify

7 \cdot \frac{1}{( x ) ^{2} + 1} \cdot \frac{1}{2 x} : \frac{7}{2 x ( x + 1 )}

= \frac{7}{2 x ( x + 1 )}

x \to 1 lim (4 x - x^{2})

y = x^{3} - 3 x^{2} + 2, (3, 2)

y^{^{''}} + 36 y = 48 sec (6 t)

\frac{\partial}{\partial x} ((2 x y - 3) e^{- x y})

\int x^{5} e^{(x^{6} - 4)} d x

What is the derivative of 7arctan(sqrt(x)) ?
The derivative of 7arctan(sqrt(x)) is 7/(2sqrt(x)(x+1))
What is the first derivative of 7arctan(sqrt(x)) ?
The first derivative of 7arctan(sqrt(x)) is 7/(2sqrt(x)(x+1))