Solve 2*4varepsilon*20

$$2 \cdot 4 \varepsilon \times 20$$

Evaluate

$$160\epsilon$$

Solution Steps

Multiply 2 and 4 to get 8.

$$8\epsilon \times 20$$

Multiply 8 and 20 to get 160.

$$160\epsilon$$

Differentiate w.r.t. ε

$$160$$

Steps Using Definition of a Derivative

Multiply 2 and 4 to get 8.

$$\frac{\mathrm{d}}{\mathrm{d}\epsilon }(8\epsilon \times 20)$$

Multiply 8 and 20 to get 160.

$$\frac{\mathrm{d}}{\mathrm{d}\epsilon }(160\epsilon )$$

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

$$160\epsilon ^{1-1}$$

Subtract 1 from 1.

$$160\epsilon ^{0}$$

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

$$160\times 1$$

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

$$160$$