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Evaluate
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Differentiate w.r.t. x
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\frac{1}{24}x+3x
Combine -\frac{5}{8}x and \frac{2}{3}x to get \frac{1}{24}x.
\frac{73}{24}x
Combine \frac{1}{24}x and 3x to get \frac{73}{24}x.
\frac{\mathrm{d}}{\mathrm{d}x}(\frac{1}{24}x+3x)
Combine -\frac{5}{8}x and \frac{2}{3}x to get \frac{1}{24}x.
\frac{\mathrm{d}}{\mathrm{d}x}(\frac{73}{24}x)
Combine \frac{1}{24}x and 3x to get \frac{73}{24}x.
\frac{73}{24}x^{1-1}
The derivative of ax^{n} is nax^{n-1}.
\frac{73}{24}x^{0}
Subtract 1 from 1.
\frac{73}{24}\times 1
For any term t except 0, t^{0}=1.
\frac{73}{24}
For any term t, t\times 1=t and 1t=t.