What is the derivative of arcsin(10x) ?

The derivative of arcsin(10x) is (10)/(sqrt(1-100x^2))

What is the first derivative of arcsin(10x) ?

The first derivative of arcsin(10x) is (10)/(sqrt(1-100x^2))

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\frac{d}{d x} (arcsin (10 x))

\frac{10}{1 - 100 x ^{2}}

Solution steps

\frac{d}{d x} (arcsin (10 x))

Apply the chain rule:

\frac{1}{1 - ( 10 x ) ^{2}} \frac{d}{d x} (10 x)

= \frac{1}{1 - ( 10 x ) ^{2}} \frac{d}{d x} (10 x)

\frac{d}{d x} (10 x) = 10

= \frac{1}{1 - ( 10 x ) ^{2}} \cdot 10

Simplify

\frac{1}{1 - ( 10 x ) ^{2}} \cdot 10 : \frac{10}{1 - 100 x ^{2}}

= \frac{10}{1 - 100 x ^{2}}

\int_{2}^{3} x + x^{2} d x

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x \to 4 lim (4 x + 2 x^{2})

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What is the derivative of arcsin(10x) ?
The derivative of arcsin(10x) is (10)/(sqrt(1-100x^2))
What is the first derivative of arcsin(10x) ?
The first derivative of arcsin(10x) is (10)/(sqrt(1-100x^2))