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Popular Calculus >

derivative of arccos(x+1)

Solution

derivative of

arccos (x + 1)

Solution

- \frac{1}{- x ^{2} - 2 x}

Solution steps

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

Apply the chain rule:

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

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

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

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

Simplify

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

= - \frac{1}{- x ^{2} - 2 x}

Graph

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Frequently Asked Questions (FAQ)

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