What is the derivative of arcsin(5x) ?

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

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

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

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derivative of

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{( 8 x ) ^{9}}{9}

\int - 3 y d y

(- 3)^{^{'}}

\frac{d}{d x} ((4 - 2 x) (- x^{3} - 2 x^{2} + 1))

\frac{\partial}{\partial x} (x e^{2 y} sin (5 z))

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