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Popular >

derivative of arcsin(x/7)

Solution

\frac{d}{d x} (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}}

Popular Examples

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\frac{\partial}{\partial x} (x e^{x y} - \frac{x}{y ^{2}})

tangent of ((8e^{(9x)}))/((5x-2))tangent of

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derivative of xe^{7x}

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integral of (sqrt(2x+1))

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derivative of 3x^2sin(4x)

\frac{d}{d x} (3 x^{2} sin (4 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))