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Popular >

derivative of 3arcsin(x)

Solution

\frac{d}{d x} (3 arcsin (x))

Solution

\frac{3}{1 - x ^{2}}

Solution steps

\frac{d}{d x} (3 arcsin (x))

Take the constant out:

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

= 3 \frac{d}{d x} (arcsin (x))

Apply the common derivative:

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

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

Simplify

3 \cdot \frac{1}{1 - x ^{2}} : \frac{3}{1 - x ^{2}}

= \frac{3}{1 - x ^{2}}

Popular Examples

integral of 1/((x^2-81)^{3/2)}

\int \frac{1}{( x ^{2} - 81 ) ^{\frac{3}{2}}} d x

inverse oflaplace 3/((s+2)^3)inverse laplace

\frac{3}{( s + 2 ) ^{3}}

area y=x^3-2x^2+2,y=3x^2+5x-23,-1,7 area

y = x^{3} - 2 x^{2} + 2, y = 3 x^{2} + 5 x - 23, - 1, 7

(\partial)/(\partial x)(x^2e^{-x/y})

\frac{\partial}{\partial x} (x^{2} e^{- \frac{x}{y}})

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\int_{1}^{5} \frac{e ^{\frac{x}{2}}}{x ^{3}} d x

Frequently Asked Questions (FAQ)

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