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