Solve m^4/7-0

$$\frac { m ^ { 4 } } { 7 } - 0$$

Evaluate

$$\frac{m^{4}}{7}$$

Short Solution Steps

To add or subtract expressions, expand them to make their denominators the same. Multiply 0 times \frac{7}{7}.

$$\frac{m^{4}}{7}-\frac{0\times 7}{7}$$

Since \frac{m^{4}}{7} and \frac{0\times 7}{7} have the same denominator, subtract them by subtracting their numerators.

$$\frac{m^{4}-0\times 7}{7}$$

Do the multiplications in m^{4}-0\times 7.

$$\frac{m^{4}}{7}$$

Differentiate w.r.t. m

$$\frac{4m^{3}}{7}$$

Steps Using Definition of a Derivative

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

$$4\times \frac{1}{7}m^{4-1}$$

Multiply 4 times \frac{1}{7}.

$$\frac{4}{7}m^{4-1}$$

Subtract 1 from 4.

$$\frac{4}{7}m^{3}$$