What is the derivative of arccot(1/2 (x-1/x)) ?

The derivative of arccot(1/2 (x-1/x)) is arccot(1/2)(1+1/(x^2))

What is the first derivative of arccot(1/2 (x-1/x)) ?

The first derivative of arccot(1/2 (x-1/x)) is arccot(1/2)(1+1/(x^2))

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Popular >

\frac{d}{d x} (arccot (\frac{1}{2}) (x - \frac{1}{x}))

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

Solution steps

\frac{d}{d x} (arccot (\frac{1}{2}) (x - \frac{1}{x}))

Take the constant out:

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

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

Apply the Sum/Difference Rule:

(f \pm g)^{'} = f^{'} \pm g^{'}

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

\frac{d x}{d x} = 1

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

= arccot (\frac{1}{2}) (1 - (- \frac{1}{x ^{2}}))

Simplify

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

\int \frac{7}{9 + 4 x ^{2}} d x

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

y^{^{''}} + 5 y^{^{'}} + 6 = 1

3 e^{- 4 t}

(4 x + 3) (2 x^{2} + 7 x - 1)

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