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Differentiate w.r.t. x
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Evaluate
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\frac{\mathrm{d}}{\mathrm{d}x}(18x^{4})
Combine 4x^{4} and 14x^{4} to get 18x^{4}.
4\times 18x^{4-1}
The derivative of ax^{n} is nax^{n-1}.
72x^{4-1}
Multiply 4 times 18.
72x^{3}
Subtract 1 from 4.
18x^{4}
Combine 4x^{4} and 14x^{4} to get 18x^{4}.