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Popular >

derivative of sqrt(1-x^2)-xarccos(x)

Solution

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

Solution

- arccos (x)

Solution steps

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

Apply the Sum/Difference Rule:

(f \pm g)^{'} = f^{'} \pm g^{'}

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

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

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

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

Simplify

= - arccos (x)

Popular Examples

y(dy)/(dx)=-8cos(pix)

y \frac{d y}{d x} = - 8 cos (π x)

(\partial)/(\partial x)(csc^2(x))

\frac{\partial}{\partial x} (csc^{2} (x))

sum from n=0 to infinity of n*e^{-n^2}

n = 0 \sum \infty n \cdot e^{- n^{2}}

tangent of y=4ln(x)tangent of

y = 4 ln (x)

integral of (sqrt(x^2+1))/(x^2)

\int \frac{x ^{2} + 1}{x ^{2}} d x

Frequently Asked Questions (FAQ)

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