Differentiate w.r.t. x
\frac{3}{2\sqrt{x}}
Evaluate
3\sqrt{x}
Graph
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\frac{1}{2}\times 3x^{\frac{1}{2}-1}
The derivative of ax^{n} is nax^{n-1}.
\frac{3}{2}x^{\frac{1}{2}-1}
Multiply \frac{1}{2} times 3.
\frac{3}{2}x^{-\frac{1}{2}}
Subtract 1 from \frac{1}{2}.
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