Solve 1/6text{of}E4*80

$$\frac { 1 } { 6 } \text { of } E 4 \cdot 80$$

Evaluate

$$\frac{40E_{4}}{3}$$

Solution Steps

Multiply \frac{1}{6} and 80 to get \frac{80}{6}.

$$\frac{80}{6}E_{4}$$

Reduce the fraction \frac{80}{6} to lowest terms by extracting and canceling out 2.

$$\frac{40}{3}E_{4}$$

Differentiate w.r.t. E_4

$$\frac{40}{3} = 13\frac{1}{3} = 13.333333333333334$$

Steps Using Definition of a Derivative

Multiply \frac{1}{6} and 80 to get \frac{80}{6}.

$$\frac{\mathrm{d}}{\mathrm{d}E_{4}}(\frac{80}{6}E_{4})$$

Reduce the fraction \frac{80}{6} to lowest terms by extracting and canceling out 2.

$$\frac{\mathrm{d}}{\mathrm{d}E_{4}}(\frac{40}{3}E_{4})$$

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

$$\frac{40}{3}E_{4}^{1-1}$$

Subtract 1 from 1.

$$\frac{40}{3}E_{4}^{0}$$

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

$$\frac{40}{3}\times 1$$

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

$$\frac{40}{3}$$