Evaluate
\frac{x^{3}}{3}-\frac{x}{5}
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\frac{x^{3}}{3}-\frac{x}{5}
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\frac{1}{6}x^{3}-\frac{1}{10}x-\frac{1}{5}+\frac{1}{6}x^{3}-\frac{1}{10}x+\frac{1}{5}
To find the opposite of -\frac{1}{6}x^{3}+\frac{1}{10}x-\frac{1}{5}, find the opposite of each term.
\frac{1}{3}x^{3}-\frac{1}{10}x-\frac{1}{5}-\frac{1}{10}x+\frac{1}{5}
Combine \frac{1}{6}x^{3} and \frac{1}{6}x^{3} to get \frac{1}{3}x^{3}.
\frac{1}{3}x^{3}-\frac{1}{5}x-\frac{1}{5}+\frac{1}{5}
Combine -\frac{1}{10}x and -\frac{1}{10}x to get -\frac{1}{5}x.
\frac{1}{3}x^{3}-\frac{1}{5}x
Add -\frac{1}{5} and \frac{1}{5} to get 0.
\frac{1}{6}x^{3}-\frac{1}{10}x-\frac{1}{5}+\frac{1}{6}x^{3}-\frac{1}{10}x+\frac{1}{5}
To find the opposite of -\frac{1}{6}x^{3}+\frac{1}{10}x-\frac{1}{5}, find the opposite of each term.
\frac{1}{3}x^{3}-\frac{1}{10}x-\frac{1}{5}-\frac{1}{10}x+\frac{1}{5}
Combine \frac{1}{6}x^{3} and \frac{1}{6}x^{3} to get \frac{1}{3}x^{3}.
\frac{1}{3}x^{3}-\frac{1}{5}x-\frac{1}{5}+\frac{1}{5}
Combine -\frac{1}{10}x and -\frac{1}{10}x to get -\frac{1}{5}x.
\frac{1}{3}x^{3}-\frac{1}{5}x
Add -\frac{1}{5} and \frac{1}{5} to get 0.
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\frac { d } { d x } \frac { ( 3 x ^ { 2 } - 2 ) } { ( x - 5 ) }
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Limits
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