Solve 1S(-4)^2

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

Evaluate

$$16S$$

Solution Steps

Calculate -4 to the power of 2 and get 16.

$$1S\times 16$$

Multiply 1 and 16 to get 16.

$$16S$$

Differentiate w.r.t. S

$$16$$

Steps Using Definition of a Derivative

Calculate -4 to the power of 2 and get 16.

$$\frac{\mathrm{d}}{\mathrm{d}S}(1S\times 16)$$

Multiply 1 and 16 to get 16.

$$\frac{\mathrm{d}}{\mathrm{d}S}(16S)$$

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

$$16S^{1-1}$$

Subtract 1 from 1.

$$16S^{0}$$

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

$$16\times 1$$

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

$$16$$