Evaluate
-\frac{19x}{30}
Differentiate w.r.t. x
-\frac{19}{30} = -0.6333333333333333
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-\frac{2}{15}x-\frac{x}{2}
Combine \frac{x}{5} and -\frac{x}{3} to get -\frac{2}{15}x.
-\frac{19}{30}x
Combine -\frac{2}{15}x and -\frac{x}{2} to get -\frac{19}{30}x.
\frac{\mathrm{d}}{\mathrm{d}x}(-\frac{2}{15}x-\frac{x}{2})
Combine \frac{x}{5} and -\frac{x}{3} to get -\frac{2}{15}x.
\frac{\mathrm{d}}{\mathrm{d}x}(-\frac{19}{30}x)
Combine -\frac{2}{15}x and -\frac{x}{2} to get -\frac{19}{30}x.
-\frac{19}{30}x^{1-1}
The derivative of ax^{n} is nax^{n-1}.
-\frac{19}{30}x^{0}
Subtract 1 from 1.
-\frac{19}{30}
For any term t except 0, t^{0}=1.
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