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Popular >

derivative of arcsin(x/7)

Solution

derivative of

arcsin (\frac{x}{7})

Solution

\frac{1}{49 - x ^{2}}

Solution steps

\frac{d}{d x} (arcsin (\frac{x}{7}))

Apply the chain rule:

\frac{1}{1 - ( \frac{x}{7} ) ^{2}} \frac{d}{d x} (\frac{x}{7})

= \frac{1}{1 - ( \frac{x}{7} ) ^{2}} \frac{d}{d x} (\frac{x}{7})

\frac{d}{d x} (\frac{x}{7}) = \frac{1}{7}

= \frac{1}{1 - ( \frac{x}{7} ) ^{2}} \cdot \frac{1}{7}

Simplify

\frac{1}{1 - ( \frac{x}{7} ) ^{2}} \cdot \frac{1}{7} : \frac{1}{49 - x ^{2}}

= \frac{1}{49 - x ^{2}}

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\int \frac{9 - x ^{2}}{7 x ^{3} + x} d x

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x \to 2 lim (\frac{x ^{7} - 128}{x - 2})

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\int - 2 x y d x

Frequently Asked Questions (FAQ)

What is the derivative of arcsin(x/7) ?
The derivative of arcsin(x/7) is 1/(sqrt(49-x^2))
What is the first derivative of arcsin(x/7) ?
The first derivative of arcsin(x/7) is 1/(sqrt(49-x^2))