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Popular >

derivative of x/(sqrt(x^21))

Solution

derivative of

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

Solution

0

Solution steps

\frac{d}{d x} (\frac{x}{x ^{2} \cdot 1})

Apply the Quotient Rule:

(\frac{f}{g})^{'} = \frac{f ^{'} \cdot g - g ^{'} \cdot f}{g ^{2}}

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

\frac{d x}{d x} = 1

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

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

Simplify

\frac{1 \cdot x ^{2} \cdot 1 - \frac{x}{x ^{2}} x}{( x ^{2} \cdot 1 ) ^{2}} : 0

= 0

Popular Examples

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

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f (x) = \frac{7}{x + 1}, at x = 7

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\int cos (x) cos (y) d x

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\int \frac{1}{x ^{14}} d x

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\int (5 x + 2)^{2} d x

Frequently Asked Questions (FAQ)

What is the derivative of x/(sqrt(x^21)) ?
The derivative of x/(sqrt(x^21)) is 0
What is the first derivative of x/(sqrt(x^21)) ?
The first derivative of x/(sqrt(x^21)) is 0