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Evaluate
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Differentiate w.r.t. x
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28x-\frac{8}{15}x
Divide 56 by 2 to get 28.
\frac{412}{15}x
Combine 28x and -\frac{8}{15}x to get \frac{412}{15}x.
\frac{\mathrm{d}}{\mathrm{d}x}(28x-\frac{8}{15}x)
Divide 56 by 2 to get 28.
\frac{\mathrm{d}}{\mathrm{d}x}(\frac{412}{15}x)
Combine 28x and -\frac{8}{15}x to get \frac{412}{15}x.
\frac{412}{15}x^{1-1}
The derivative of ax^{n} is nax^{n-1}.
\frac{412}{15}x^{0}
Subtract 1 from 1.
\frac{412}{15}\times 1
For any term t except 0, t^{0}=1.
\frac{412}{15}
For any term t, t\times 1=t and 1t=t.