Solve 16c/11-15c/11

$$\frac { 16 c } { 11 } - \frac { 15 c } { 11 }$$

Evaluate

$$\frac{c}{11}$$

Short Solution Steps

Since \frac{16c}{11} and \frac{15c}{11} have the same denominator, subtract them by subtracting their numerators.

$$\frac{16c-15c}{11}$$

Combine like terms in 16c-15c.

$$\frac{c}{11}$$

Differentiate w.r.t. c

$$\frac{1}{11} = 0.09090909090909091$$

Steps Using Definition of a Derivative

Since \frac{16c}{11} and \frac{15c}{11} have the same denominator, subtract them by subtracting their numerators.

$$\frac{\mathrm{d}}{\mathrm{d}c}(\frac{16c-15c}{11})$$

Combine like terms in 16c-15c.

$$\frac{\mathrm{d}}{\mathrm{d}c}(\frac{c}{11})$$

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

$$\frac{1}{11}c^{1-1}$$

Subtract 1 from 1.

$$\frac{1}{11}c^{0}$$

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

$$\frac{1}{11}\times 1$$

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

$$\frac{1}{11}$$