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Popular >

derivative of ln(arccos(x))

Solution

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

Solution

- \frac{1}{arccos ( x ) 1 - x ^{2}}

Solution steps

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

Apply the chain rule:

\frac{1}{arccos ( x )} \frac{d}{d x} (arccos (x))

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

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

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

Simplify

\frac{1}{arccos ( x )} (- \frac{1}{1 - x ^{2}}) : - \frac{1}{arccos ( x ) 1 - x ^{2}}

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

Popular Examples

2y^{''}+5y^'-18y=0

2 y^{^{''}} + 5 y^{^{'}} - 18 y = 0

(dx)/(dt)=t^{3/2},x(3)=7

\frac{d x}{d t} = t^{\frac{3}{2}}, x (3) = 7

limit as x approaches-1 of (1+x^3)/(1+x)

x \to - 1 lim (\frac{1 + x ^{3}}{1 + x})

derivative of 6x^{-1/2}

\frac{d}{d x} (6 x^{- \frac{1}{2}})

tangent of y=2x^2+3/x tangent of

y = 2 x^{2} + \frac{3}{x}

Frequently Asked Questions (FAQ)

What is the derivative of ln(arccos(x)) ?
The derivative of ln(arccos(x)) is -1/(arccos(x)sqrt(1-x^2))
What is the first derivative of ln(arccos(x)) ?
The first derivative of ln(arccos(x)) is -1/(arccos(x)sqrt(1-x^2))