What is the derivative of ln(arccos(x+2)) ?

The derivative of ln(arccos(x+2)) is -1/((arccos(x)+2)sqrt(-x^2+1))

What is the first derivative of ln(arccos(x+2)) ?

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

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\frac{d}{d x} (ln (arccos (x) + 2))

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

Solution steps

\frac{d}{d x} (ln (arccos (x) + 2))

Apply the chain rule:

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

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

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

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

Simplify

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

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

\int 4 x^{2} e^{4 x} d x

3 - x

y = x^{8 c o s (x)}

\frac{d}{d x} (\frac{3 x}{1 + x ^{3}})

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