Differentiate w.r.t. x
\frac{3}{2} = 1\frac{1}{2} = 1.5
Evaluate
\frac{3x}{2}
Graph
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\frac{\mathrm{d}}{\mathrm{d}x}(\frac{3}{2}x)
Combine x and \frac{x}{2} to get \frac{3}{2}x.
\frac{3}{2}x^{1-1}
The derivative of ax^{n} is nax^{n-1}.
\frac{3}{2}x^{0}
Subtract 1 from 1.
\frac{3}{2}\times 1
For any term t except 0, t^{0}=1.
\frac{3}{2}
For any term t, t\times 1=t and 1t=t.
\frac{3}{2}x
Combine x and \frac{x}{2} to get \frac{3}{2}x.
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