Differentiate w.r.t. x
4x
Evaluate
2x^{2}-105
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\frac{\mathrm{d}}{\mathrm{d}x}(2x^{2}-105)
Multiply 7 and 15 to get 105.
2\times 2x^{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}.
4x^{2-1}
Multiply 2 times 2.
4x^{1}
Subtract 1 from 2.
4x
For any term t, t^{1}=t.
2x^{2}-105
Multiply 7 and 15 to get 105.
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