Solve 7a/4-3a/4=

$$\frac { 7 a } { 4 } - \frac { 3 a } { 4 } =$$

Evaluate

$$a$$

Short Solution Steps

Since \frac{7a}{4} and \frac{3a}{4} have the same denominator, subtract them by subtracting their numerators.

$$\frac{7a-3a}{4}$$

Combine like terms in 7a-3a.

$$\frac{4a}{4}$$

Cancel out 4 and 4.

$$a$$

Differentiate w.r.t. a

$$1$$

Steps Using Definition of a Derivative

Since \frac{7a}{4} and \frac{3a}{4} have the same denominator, subtract them by subtracting their numerators.

$$\frac{\mathrm{d}}{\mathrm{d}a}(\frac{7a-3a}{4})$$

Combine like terms in 7a-3a.

$$\frac{\mathrm{d}}{\mathrm{d}a}(\frac{4a}{4})$$

Cancel out 4 and 4.

$$\frac{\mathrm{d}}{\mathrm{d}a}(a)$$

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

$$a^{1-1}$$

Subtract 1 from 1.

$$a^{0}$$

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

$$1$$