Differentiate w.r.t. x
18x
Evaluate
9x^{2}+2
Graph
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\frac{\mathrm{d}}{\mathrm{d}x}(9x^{2}+2)
Combine 3x^{2} and 6x^{2} to get 9x^{2}.
2\times 9x^{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}.
18x^{2-1}
Multiply 2 times 9.
18x^{1}
Subtract 1 from 2.
18x
For any term t, t^{1}=t.
9x^{2}+2
Combine 3x^{2} and 6x^{2} to get 9x^{2}.
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