Solve 4(2)(820E6)

$$4 ( 2 ) ( 820 E 6 )$$

Evaluate

$$6560E_{6}$$

Solution Steps

Multiply 4 and 2 to get 8.

$$8\times 820E_{6}$$

Multiply 8 and 820 to get 6560.

$$6560E_{6}$$

Differentiate w.r.t. E_6

$$6560$$

Steps Using Definition of a Derivative

Multiply 4 and 2 to get 8.

$$\frac{\mathrm{d}}{\mathrm{d}E_{6}}(8\times 820E_{6})$$

Multiply 8 and 820 to get 6560.

$$\frac{\mathrm{d}}{\mathrm{d}E_{6}}(6560E_{6})$$

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

$$6560E_{6}^{1-1}$$

Subtract 1 from 1.

$$6560E_{6}^{0}$$

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

$$6560\times 1$$

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

$$6560$$