Solve 3.2-5.1n-3n+5

$$3.2 - 5.1 n - 3 n + 5$$

Evaluate

$$-\frac{81n}{10}+8.2$$

Solution Steps

Combine -5.1n and -3n to get -8.1n.

$$3.2-8.1n+5$$

Add 3.2 and 5 to get 8.2.

$$8.2-8.1n$$

Differentiate w.r.t. n

$$-8.1$$

Steps Using Derivative Rule for Sum

Combine -5.1n and -3n to get -8.1n.

$$\frac{\mathrm{d}}{\mathrm{d}n}(3.2-8.1n+5)$$

Add 3.2 and 5 to get 8.2.

$$\frac{\mathrm{d}}{\mathrm{d}n}(8.2-8.1n)$$

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}.

$$-8.1n^{1-1}$$

Subtract 1 from 1.

$$-8.1n^{0}$$

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

$$-8.1$$