Solve a^2/4+a^2/2

$$\frac { a ^ { 2 } } { 4 } + \frac { a ^ { 2 } } { 2 }$$

Differentiate w.r.t. a

$$\frac{3a}{2}$$

Steps Using Definition of a Derivative

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

$$\frac{\mathrm{d}}{\mathrm{d}a}(\frac{3}{4}a^{2})$$

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

$$2\times \frac{3}{4}a^{2-1}$$

Multiply 2 times \frac{3}{4}.

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

Subtract 1 from 2.

$$\frac{3}{2}a^{1}$$

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

$$\frac{3}{2}a$$

Evaluate

$$\frac{3a^{2}}{4}$$

Solution Steps

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

$$\frac{3}{4}a^{2}$$