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Evaluate
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Differentiate w.r.t. x
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-3\times 5x^{-3-1}-2\times 3x^{-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}.
-15x^{-3-1}-2\times 3x^{-2-1}
Multiply -3 times 5.
-15x^{-4}-2\times 3x^{-2-1}
Subtract 1 from -3.
-15x^{-4}-6x^{-2-1}
Multiply -2 times 3.
-15x^{-4}-6x^{-3}
Subtract 1 from -2.