Solve x(2^2-3)

$$x( { 2 }^{ 2 } -3)$$

Evaluate

$$x$$

Solution Steps

Calculate 2 to the power of 2 and get 4.

$$x\left(4-3\right)$$

Subtract 3 from 4 to get 1.

$$x\times 1$$

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

$$x$$

Differentiate w.r.t. x

$$1$$

Steps Using Definition of a Derivative

Calculate 2 to the power of 2 and get 4.

$$\frac{\mathrm{d}}{\mathrm{d}x}(x\left(4-3\right))$$

Subtract 3 from 4 to get 1.

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

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

$$x^{1-1}$$

Subtract 1 from 1.

$$x^{0}$$

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

$$1$$