What is the derivative of arcsin(3x) ?

The derivative of arcsin(3x) is 3/(sqrt(1-9x^2))

What is the first derivative of arcsin(3x) ?

The first derivative of arcsin(3x) is 3/(sqrt(1-9x^2))

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derivative of

arcsin (3 x)

\frac{3}{1 - 9 x ^{2}}

Solution steps

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

Apply the chain rule:

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

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

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

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

Simplify

\frac{1}{1 - ( 3 x ) ^{2}} \cdot 3 : \frac{3}{1 - 9 x ^{2}}

= \frac{3}{1 - 9 x ^{2}}

\int \frac{x ^{2} - x + 6}{x ( x ^{2} + 3 )} d x

y^{^{''}} - (y^{^{'}})^{2} = 0

\frac{a x + b}{c x + d}

\frac{d}{d x} (3 x^{6})

x \to 0 - lim (\frac{23}{tan ( x )})

What is the derivative of arcsin(3x) ?
The derivative of arcsin(3x) is 3/(sqrt(1-9x^2))
What is the first derivative of arcsin(3x) ?
The first derivative of arcsin(3x) is 3/(sqrt(1-9x^2))