Solve 2a^2+a^2+3a^2

$$2 a ^ { 2 } + a ^ { 2 } + 3 a ^ { 2 }$$

Evaluate

$$6a^{2}$$

Solution Steps

Combine 2a^{2} and a^{2} to get 3a^{2}.

$$3a^{2}+3a^{2}$$

Combine 3a^{2} and 3a^{2} to get 6a^{2}.

$$6a^{2}$$

Differentiate w.r.t. a

$$12a$$

Steps Using Definition of a Derivative

Combine 2a^{2} and a^{2} to get 3a^{2}.

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

Combine 3a^{2} and 3a^{2} to get 6a^{2}.

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

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

$$2\times 6a^{2-1}$$

Multiply 2 times 6.

$$12a^{2-1}$$

Subtract 1 from 2.

$$12a^{1}$$

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

$$12a$$