Differentiate w.r.t. x
10x-6
Evaluate
5x^{2}-6x+2
Graph
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\frac{\mathrm{d}}{\mathrm{d}x}(5x^{2}+2-6x)
Combine -5x^{2} and 10x^{2} to get 5x^{2}.
2\times 5x^{2-1}-6x^{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}.
10x^{2-1}-6x^{1-1}
Multiply 2 times 5.
10x^{1}-6x^{1-1}
Subtract 1 from 2.
10x^{1}-6x^{0}
Subtract 1 from 1.
10x-6x^{0}
For any term t, t^{1}=t.
10x-6
For any term t except 0, t^{0}=1.
5x^{2}+2-6x
Combine -5x^{2} and 10x^{2} to get 5x^{2}.
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