Solve z^2-64z^2-64

$$z ^ { 2 } - 64 z ^ { 2 } - 64$$

Differentiate w.r.t. z

$$-126z$$

Steps Using Derivative Rule for Sum

Combine z^{2} and -64z^{2} to get -63z^{2}.

$$\frac{\mathrm{d}}{\mathrm{d}z}(-63z^{2}-64)$$

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}.

$$2\left(-63\right)z^{2-1}$$

Multiply 2 times -63.

$$-126z^{2-1}$$

Subtract 1 from 2.

$$-126z^{1}$$

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

$$-126z$$

Evaluate

$$-63z^{2}-64$$

Solution Steps

Combine z^{2} and -64z^{2} to get -63z^{2}.

$$-63z^{2}-64$$