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Popular Calculus >

derivative of arccos(3x+1)

Solution

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

Solution

- \frac{3}{- 9 x ^{2} - 6 x}

Solution steps

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

Apply the chain rule:

- \frac{1}{1 - ( 3 x + 1 ) ^{2}} \frac{d}{d x} (3 x + 1)

= - \frac{1}{1 - ( 3 x + 1 ) ^{2}} \frac{d}{d x} (3 x + 1)

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

= - \frac{1}{1 - ( 3 x + 1 ) ^{2}} \cdot 3

Simplify

- \frac{1}{1 - ( 3 x + 1 ) ^{2}} \cdot 3 : - \frac{3}{- 9 x ^{2} - 6 x}

= - \frac{3}{- 9 x ^{2} - 6 x}

Graph

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Frequently Asked Questions (FAQ)

What is the derivative of arccos(3x+1) ?
The derivative of arccos(3x+1) is -3/(sqrt(-9x^2-6x))
What is the first derivative of arccos(3x+1) ?
The first derivative of arccos(3x+1) is -3/(sqrt(-9x^2-6x))