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Differentiate w.r.t. x
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\frac{3}{2}\times \frac{4}{3}x^{\frac{3}{2}-1}
The derivative of ax^{n} is nax^{n-1}.
2x^{\frac{3}{2}-1}
Multiply \frac{3}{2} times \frac{4}{3} by multiplying numerator times numerator and denominator times denominator. Then reduce the fraction to lowest terms if possible.
2\sqrt{x}
Subtract 1 from \frac{3}{2}.