Solve 4F/0.35-F/1

$$\frac{ 4F }{ 0.35 } - \frac{ F }{ 1 }$$

Evaluate

$$\frac{73F}{7}$$

Solution Steps

Divide 4F by 0.35 to get \frac{80}{7}F.

$$\frac{80}{7}F-\frac{F}{1}$$

Anything divided by one gives itself.

$$\frac{80}{7}F-F$$

Combine \frac{80}{7}F and -F to get \frac{73}{7}F.

$$\frac{73}{7}F$$

Differentiate w.r.t. F

$$\frac{73}{7} = 10\frac{3}{7} = 10.428571428571429$$

Steps Using Definition of a Derivative

Divide 4F by 0.35 to get \frac{80}{7}F.

$$\frac{\mathrm{d}}{\mathrm{d}F}(\frac{80}{7}F-\frac{F}{1})$$

Anything divided by one gives itself.

$$\frac{\mathrm{d}}{\mathrm{d}F}(\frac{80}{7}F-F)$$

Combine \frac{80}{7}F and -F to get \frac{73}{7}F.

$$\frac{\mathrm{d}}{\mathrm{d}F}(\frac{73}{7}F)$$

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

$$\frac{73}{7}F^{1-1}$$

Subtract 1 from 1.

$$\frac{73}{7}F^{0}$$

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

$$\frac{73}{7}\times 1$$

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

$$\frac{73}{7}$$