Solve 1x-x^2-4

$$1 x - x ^ { 2 } - 4$$

Differentiate w.r.t. x

$$1-2x$$

Steps Using Derivative Rule for Sum

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}.

$$x^{1-1}+2\left(-1\right)x^{2-1}$$

Subtract 1 from 1.

$$x^{0}+2\left(-1\right)x^{2-1}$$

Multiply 2 times -1.

$$x^{0}-2x^{2-1}$$

Subtract 1 from 2.

$$x^{0}-2x^{1}$$

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

$$x^{0}-2x$$

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

$$1-2x$$

Evaluate

$$-x^{2}+x-4$$