Solve 5+6(10)-81n

$$5 + 6 ( 10 ) - 81 n$$

Evaluate

$$65-81n$$

Solution Steps

Multiply 6 and 10 to get 60.

$$5+60-81n$$

Add 5 and 60 to get 65.

$$65-81n$$

Differentiate w.r.t. n

$$-81$$

Steps Using Derivative Rule for Sum

Multiply 6 and 10 to get 60.

$$\frac{\mathrm{d}}{\mathrm{d}n}(5+60-81n)$$

Add 5 and 60 to get 65.

$$\frac{\mathrm{d}}{\mathrm{d}n}(65-81n)$$

The derivative of a polynomial is the sum of the derivatives of its terms. The derivative of a constant term is 0. The derivative of ax^{n} is nax^{n-1}.

$$-81n^{1-1}$$

Subtract 1 from 1.

$$-81n^{0}$$

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

$$-81$$