Solve x^2-7x-44quadx^2-100

$$x ^ { 2 } - 7 x - 44 \quad x ^ { 2 } - 100$$

Differentiate w.r.t. x

$$-86x-7$$

Steps Using Derivative Rule for Sum

Combine x^{2} and -44x^{2} to get -43x^{2}.

$$\frac{\mathrm{d}}{\mathrm{d}x}(-43x^{2}-7x-100)$$

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}.

$$2\left(-43\right)x^{2-1}-7x^{1-1}$$

Multiply 2 times -43.

$$-86x^{2-1}-7x^{1-1}$$

Subtract 1 from 2.

$$-86x^{1}-7x^{1-1}$$

Subtract 1 from 1.

$$-86x^{1}-7x^{0}$$

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

$$-86x-7x^{0}$$

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

$$-86x-7$$

Evaluate

$$-43x^{2}-7x-100$$

Solution Steps

Combine x^{2} and -44x^{2} to get -43x^{2}.

$$-43x^{2}-7x-100$$