Solve ((-1)*2)Delta(-4)

$$( ( - 1 ) \cdot 2 ) \Delta ( - 4 )$$

Evaluate

$$8\Delta$$

Solution Steps

Multiply -1 and 2 to get -2.

$$-2\Delta \left(-4\right)$$

Multiply -2 and -4 to get 8.

$$8\Delta$$

Differentiate w.r.t. Δ

$$8$$

Steps Using Definition of a Derivative

Multiply -1 and 2 to get -2.

$$\frac{\mathrm{d}}{\mathrm{d}\Delta }(-2\Delta \left(-4\right))$$

Multiply -2 and -4 to get 8.

$$\frac{\mathrm{d}}{\mathrm{d}\Delta }(8\Delta )$$

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

$$8\Delta ^{1-1}$$

Subtract 1 from 1.

$$8\Delta ^{0}$$

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

$$8\times 1$$

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

$$8$$