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Differentiate w.r.t. x
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Evaluate
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\frac{\mathrm{d}}{\mathrm{d}x}(5x^{3})
Combine 9x^{3} and -4x^{3} to get 5x^{3}.
3\times 5x^{3-1}
The derivative of ax^{n} is nax^{n-1}.
15x^{3-1}
Multiply 3 times 5.
15x^{2}
Subtract 1 from 3.
5x^{3}
Combine 9x^{3} and -4x^{3} to get 5x^{3}.