Differentiate w.r.t. x
216x^{2}+84
Evaluate
72x^{3}+84x-1
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3\times 72x^{3-1}+84x^{1-1}
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}.
216x^{3-1}+84x^{1-1}
Multiply 3 times 72.
216x^{2}+84x^{1-1}
Subtract 1 from 3.
216x^{2}+84x^{0}
Subtract 1 from 1.
216x^{2}+84\times 1
For any term t except 0, t^{0}=1.
216x^{2}+84
For any term t, t\times 1=t and 1t=t.
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