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Popular >

d/(d{x)}((({x})/(({y)+{z})})^2)

Solution

\frac{d}{d x} ((\frac{x}{( y + z )})^{2})

Solution

\frac{2 x}{( y + z ) ^{2}}

Solution steps

\frac{d}{d x} ((\frac{x}{( y + z )})^{2})

Apply the chain rule:

2 \cdot \frac{x}{y + z} \frac{d}{d x} (\frac{x}{y + z})

= 2 \cdot \frac{x}{y + z} \frac{d}{d x} (\frac{x}{y + z})

\frac{d}{d x} (\frac{x}{y + z}) = \frac{1}{y + z}

= 2 \cdot \frac{x}{y + z} \cdot \frac{1}{y + z}

Simplify

2 \cdot \frac{x}{y + z} \cdot \frac{1}{y + z} : \frac{2 x}{( y + z ) ^{2}}

= \frac{2 x}{( y + z ) ^{2}}

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Frequently Asked Questions (FAQ)

What is the d/(d{x)}((({x})/(({y)+{z})})^2) ?
The d/(d{x)}((({x})/(({y)+{z})})^2) is (2{x})/(({y)+{z})^2}
What is the first d/(d{x)}((({x})/(({y)+{z})})^2) ?
The first d/(d{x)}((({x})/(({y)+{z})})^2) is (2{x})/(({y)+{z})^2}