Solve 3n-3n*3^-1

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

Evaluate

$$2n$$

Solution Steps

Multiply 3 and 3^{-1} to get 1.

$$3n-n$$

Combine 3n and -n to get 2n.

$$2n$$

Differentiate w.r.t. n

$$2$$

Steps Using Definition of a Derivative

Multiply 3 and 3^{-1} to get 1.

$$\frac{\mathrm{d}}{\mathrm{d}n}(3n-n)$$

Combine 3n and -n to get 2n.

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

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

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

Subtract 1 from 1.

$$2n^{0}$$

For any term t except 0, t^{0}=1.

$$2\times 1$$

For any term t, t\times 1=t and 1t=t.

$$2$$