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Popular >

derivative of arccos(-x)

Solution

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

Solution

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

Solution steps

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

Apply the chain rule:

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

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

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

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

Simplify

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

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

Graph

Popular Examples

integral of 1/(t^2sqrt(441-t^2))

\int \frac{1}{t ^{2} 441 - t ^{2}} d t

integral of (4x^5+1)x^4

\int (4 x^{5} + 1) x^{4} d x

(\partial)/(\partial x)(cos^3(x^7y^3))

\frac{\partial}{\partial x} (cos^{3} (x^{7} y^{3}))

(\partial)/(\partial x)(9x^2y-3x^5y)

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(\partial)/(\partial x)(sqrt(x*y*z))

\frac{\partial}{\partial x} (x \cdot y \cdot z)

Frequently Asked Questions (FAQ)

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