Differentiate w.r.t. x
9x^{2}+1
Evaluate
3x^{3}+x-2
Graph
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\frac{\mathrm{d}}{\mathrm{d}x}(3x^{3}+x-2)
Combine 5x and -4x to get x.
3\times 3x^{3-1}+x^{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}.
9x^{3-1}+x^{1-1}
Multiply 3 times 3.
9x^{2}+x^{1-1}
Subtract 1 from 3.
9x^{2}+x^{0}
Subtract 1 from 1.
9x^{2}+1
For any term t except 0, t^{0}=1.
3x^{3}+x-2
Combine 5x and -4x to get x.
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