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))

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derivative of

3 arcsin (x)

\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}}

\int \frac{x ^{4}}{( 6 + x ^{5} ) ^{2}} d x

\int 4 tan^{3} (sin (x)) cos (x) d x

\frac{d ^{2} y}{d x ^{2}} + 4 \frac{d y}{d x} + 5 y = 2 e^{- 2 x}

\frac{d y}{d t} = 4 y + y^{4}, y (0) = 1

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))