Differentiate w.r.t. x

-2

$−2$

Evaluate

-2x-3

$−2x−3$

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\frac{\mathrm{d}}{\mathrm{d}x}(-2x-3)

Combine -4x and 2x to get -2x.

-2x^{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}.

-2x^{0}

Subtract 1 from 1.

-2

For any term t except 0, t^{0}=1.

-2x-3

Combine -4x and 2x to get -2x.