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Popular >

derivative of f(x)=-(x+3arcsin(x))/4

Solution

derivative of

f (x) = - \frac{x + 3 arcsin ( x )}{4}

Solution

- \frac{1}{4} (1 + \frac{3}{1 - x ^{2}})

Solution steps

\frac{d}{d x} (- \frac{x + 3 arcsin ( x )}{4})

Take the constant out:

(a \cdot f)^{'} = a \cdot f^{'}

= - \frac{1}{4} \frac{d}{d x} (x + 3 arcsin (x))

Apply the Sum/Difference Rule:

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

= - \frac{1}{4} (\frac{d x}{d x} + \frac{d}{d x} (3 arcsin (x)))

\frac{d x}{d x} = 1

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

= - \frac{1}{4} (1 + \frac{3}{1 - x ^{2}})

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\int 19 sin^{2} (x co) s^{2} x d x

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\int \frac{2 e ^{- \frac{1}{x}}}{x ^{2}} d x

limit as x approaches infinity of 2+3-2

x \to \infty lim (2 + 3 - 2)

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x \to 0 lim (\frac{cos ( x ) - cos ( x )}{x ^{2}})

Frequently Asked Questions (FAQ)

What is the derivative of f(x)=-(x+3arcsin(x))/4 ?
The derivative of f(x)=-(x+3arcsin(x))/4 is -1/4 (1+3/(sqrt(1-x^2)))
What is the first derivative of f(x)=-(x+3arcsin(x))/4 ?
The first derivative of f(x)=-(x+3arcsin(x))/4 is -1/4 (1+3/(sqrt(1-x^2)))