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Evaluate
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Differentiate w.r.t. x
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3\times \frac{2}{3}x^{3-1}+5\left(-\frac{1}{5}\right)x^{5-1}
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}.
2x^{3-1}+5\left(-\frac{1}{5}\right)x^{5-1}
Multiply 3 times \frac{2}{3}.
2x^{2}+5\left(-\frac{1}{5}\right)x^{5-1}
Subtract 1 from 3.
2x^{2}-x^{5-1}
Multiply 5 times -\frac{1}{5}.
2x^{2}-x^{4}
Subtract 1 from 5.