Solve 9n^2-3n^2

$$9 n ^ { 2 } - 3 n ^ { 2 }$$

Differentiate w.r.t. n

$$12n$$

Steps Using Definition of a Derivative

Combine 9n^{2} and -3n^{2} to get 6n^{2}.

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

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

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

Multiply 2 times 6.

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

Subtract 1 from 2.

$$12n^{1}$$

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

$$12n$$

Evaluate

$$6n^{2}$$

Solution Steps

Combine 9n^{2} and -3n^{2} to get 6n^{2}.

$$6n^{2}$$