Solve 5/6c^2-2/3c^2

$$\frac { 5 } { 6 } c ^ { 2 } - \frac { 2 } { 3 } c ^ { 2 }$$

Differentiate w.r.t. c

$$\frac{c}{3}$$

Steps Using Definition of a Derivative

Combine \frac{5}{6}c^{2} and -\frac{2}{3}c^{2} to get \frac{1}{6}c^{2}.

$$\frac{\mathrm{d}}{\mathrm{d}c}(\frac{1}{6}c^{2})$$

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

$$2\times \frac{1}{6}c^{2-1}$$

Multiply 2 times \frac{1}{6}.

$$\frac{1}{3}c^{2-1}$$

Subtract 1 from 2.

$$\frac{1}{3}c^{1}$$

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

$$\frac{1}{3}c$$

Evaluate

$$\frac{c^{2}}{6}$$

Solution Steps

Combine \frac{5}{6}c^{2} and -\frac{2}{3}c^{2} to get \frac{1}{6}c^{2}.

$$\frac{1}{6}c^{2}$$