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Popular >

derivative of arcsin(x/4)

Solution

derivative of

arcsin (\frac{x}{4})

Solution

\frac{1}{16 - x ^{2}}

Solution steps

\frac{d}{d x} (arcsin (\frac{x}{4}))

Apply the chain rule:

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

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

\frac{d}{d x} (\frac{x}{4}) = \frac{1}{4}

= \frac{1}{1 - ( \frac{x}{4} ) ^{2}} \cdot \frac{1}{4}

Simplify

\frac{1}{1 - ( \frac{x}{4} ) ^{2}} \cdot \frac{1}{4} : \frac{1}{16 - x ^{2}}

= \frac{1}{16 - x ^{2}}

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\int_{1}^{t} \frac{25}{x ^{3}} d x

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Frequently Asked Questions (FAQ)

What is the derivative of arcsin(x/4) ?
The derivative of arcsin(x/4) is 1/(sqrt(16-x^2))
What is the first derivative of arcsin(x/4) ?
The first derivative of arcsin(x/4) is 1/(sqrt(16-x^2))