Solve 4(1)^2-2x-4

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

Evaluate

$$-2x$$

Solution Steps

Calculate 1 to the power of 2 and get 1.

$$4\times 1-2x-4$$

Multiply 4 and 1 to get 4.

$$4-2x-4$$

Subtract 4 from 4 to get 0.

$$-2x$$

Differentiate w.r.t. x

$$-2$$

Steps Using Definition of a Derivative

Calculate 1 to the power of 2 and get 1.

$$\frac{\mathrm{d}}{\mathrm{d}x}(4\times 1-2x-4)$$

Multiply 4 and 1 to get 4.

$$\frac{\mathrm{d}}{\mathrm{d}x}(4-2x-4)$$

Subtract 4 from 4 to get 0.

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

The derivative of ax^{n} is nax^{n-1}.

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

Subtract 1 from 1.

$$-2x^{0}$$

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

$$-2$$