What is the derivative of y=arcsin(5x) ?

The derivative of y=arcsin(5x) is 5/(sqrt(1-25x^2))

What is the first derivative of y=arcsin(5x) ?

The first derivative of y=arcsin(5x) is 5/(sqrt(1-25x^2))

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derivative of

y = arcsin (5 x)

\frac{5}{1 - 25 x ^{2}}

Solution steps

\frac{d}{d x} (arcsin (5 x))

Apply the chain rule:

\frac{1}{1 - ( 5 x ) ^{2}} \frac{d}{d x} (5 x)

= \frac{1}{1 - ( 5 x ) ^{2}} \frac{d}{d x} (5 x)

\frac{d}{d x} (5 x) = 5

= \frac{1}{1 - ( 5 x ) ^{2}} \cdot 5

Simplify

\frac{1}{1 - ( 5 x ) ^{2}} \cdot 5 : \frac{5}{1 - 25 x ^{2}}

= \frac{5}{1 - 25 x ^{2}}

\frac{6 x}{1 - cot ( x )}

\int \frac{( x + 1 ) ^{3}}{( x ) ^{10}} d x

\frac{x}{99}

\frac{d}{d X} (7.1 X + 20.3)

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

What is the derivative of y=arcsin(5x) ?
The derivative of y=arcsin(5x) is 5/(sqrt(1-25x^2))
What is the first derivative of y=arcsin(5x) ?
The first derivative of y=arcsin(5x) is 5/(sqrt(1-25x^2))