Solve 3/4a+1/2a=

$$\frac { 3 } { 4 } a + \frac { 1 } { 2 } a =$$

Differentiate w.r.t. a

$$\frac{5}{4} = 1\frac{1}{4} = 1.25$$

Steps Using Definition of a Derivative

Combine \frac{3}{4}a and \frac{1}{2}a to get \frac{5}{4}a.

$$\frac{\mathrm{d}}{\mathrm{d}a}(\frac{5}{4}a)$$

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

$$\frac{5}{4}a^{1-1}$$

Subtract 1 from 1.

$$\frac{5}{4}a^{0}$$

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

$$\frac{5}{4}\times 1$$

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

$$\frac{5}{4}$$

Evaluate

$$\frac{5a}{4}$$

Solution Steps

Combine \frac{3}{4}a and \frac{1}{2}a to get \frac{5}{4}a.

$$\frac{5}{4}a$$