Solve a^2-2ac-2^2

$$a ^ { 2 } - 2 a c - 2 ^ { 2 }$$

Differentiate w.r.t. a

$$2\left(a-c\right)$$

Steps Using Derivative Rule for Sum

Calculate 2 to the power of 2 and get 4.

$$\frac{\mathrm{d}}{\mathrm{d}a}(a^{2}-2ac-4)$$

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}.

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

Subtract 1 from 2.

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

Subtract 1 from 1.

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

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

$$2a+\left(-2c\right)a^{0}$$

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

$$2a+\left(-2c\right)\times 1$$

For any term t, t\times 1=t and 1t=t.

$$2a-2c$$

Evaluate

$$a^{2}-2ac-4$$

Solution Steps

Calculate 2 to the power of 2 and get 4.

$$a^{2}-2ac-4$$