Differentiate w.r.t. x
12\sqrt{x}
Evaluate
8x^{\frac{3}{2}}+1
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\frac{3}{2}\times 8x^{\frac{3}{2}-1}
The derivative of a polynomial is the sum of the derivatives of its terms. The derivative of a constant term is 0. The derivative of ax^{n} is nax^{n-1}.
12x^{\frac{3}{2}-1}
Multiply \frac{3}{2} times 8.
12\sqrt{x}
Subtract 1 from \frac{3}{2}.
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