Solve (a^2+2a^2)

$$( a ^ { 2 } + 2 a ^ { 2 } )$$

Differentiate w.r.t. a

$$6a$$

Steps Using Definition of a Derivative

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

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

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

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

Multiply 2 times 3.

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

Subtract 1 from 2.

$$6a^{1}$$

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

$$6a$$

Evaluate

$$3a^{2}$$

Solution Steps

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

$$3a^{2}$$