Solve 9n^2-4n^2

$$9 n ^ { 2 } - 4 n ^ { 2 }$$

Differentiate w.r.t. n

$$10n$$

Steps Using Definition of a Derivative

Combine 9n^{2} and -4n^{2} to get 5n^{2}.

$$\frac{\mathrm{d}}{\mathrm{d}n}(5n^{2})$$

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

$$2\times 5n^{2-1}$$

Multiply 2 times 5.

$$10n^{2-1}$$

Subtract 1 from 2.

$$10n^{1}$$

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

$$10n$$

Evaluate

$$5n^{2}$$

Solution Steps

Combine 9n^{2} and -4n^{2} to get 5n^{2}.

$$5n^{2}$$