What is the derivative of arcsin(x/9) ?

The derivative of arcsin(x/9) is 1/(sqrt(81-x^2))

What is the first derivative of arcsin(x/9) ?

The first derivative of arcsin(x/9) is 1/(sqrt(81-x^2))

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derivative of

arcsin (\frac{x}{9})

\frac{1}{81 - x ^{2}}

Solution steps

\frac{d}{d x} (arcsin (\frac{x}{9}))

Apply the chain rule:

\frac{1}{1 - ( \frac{x}{9} ) ^{2}} \frac{d}{d x} (\frac{x}{9})

= \frac{1}{1 - ( \frac{x}{9} ) ^{2}} \frac{d}{d x} (\frac{x}{9})

\frac{d}{d x} (\frac{x}{9}) = \frac{1}{9}

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

Simplify

\frac{1}{1 - ( \frac{x}{9} ) ^{2}} \cdot \frac{1}{9} : \frac{1}{81 - x ^{2}}

= \frac{1}{81 - x ^{2}}

f (x) = \frac{e ^{x}}{x}, e, at x = 1

\int (9 x - 6)^{2} d x

- x e^{x}

y^{2} = x + 4, y^{2} = 2 - x

\int \frac{9 w ^{8} - 5 w ^{5} + 3 w ^{2} - 16}{8 w ^{4}} d w

What is the derivative of arcsin(x/9) ?
The derivative of arcsin(x/9) is 1/(sqrt(81-x^2))
What is the first derivative of arcsin(x/9) ?
The first derivative of arcsin(x/9) is 1/(sqrt(81-x^2))