Solve 5n^2-2n^2

$$5 n ^ { 2 } - 2 n ^ { 2 }$$

Differentiate w.r.t. n

$$6n$$

Steps Using Definition of a Derivative

Combine 5n^{2} and -2n^{2} to get 3n^{2}.

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

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

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

Multiply 2 times 3.

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

Subtract 1 from 2.

$$6n^{1}$$

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

$$6n$$

Evaluate

$$3n^{2}$$

Solution Steps

Combine 5n^{2} and -2n^{2} to get 3n^{2}.

$$3n^{2}$$