Solve 32-51n-3n+5

$$32 - 51 n - 3 n + 5$$

Evaluate

$$37-54n$$

Solution Steps

Combine -51n and -3n to get -54n.

$$32-54n+5$$

Add 32 and 5 to get 37.

$$37-54n$$

Differentiate w.r.t. n

$$-54$$

Steps Using Derivative Rule for Sum

Combine -51n and -3n to get -54n.

$$\frac{\mathrm{d}}{\mathrm{d}n}(32-54n+5)$$

Add 32 and 5 to get 37.

$$\frac{\mathrm{d}}{\mathrm{d}n}(37-54n)$$

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}.

$$-54n^{1-1}$$

Subtract 1 from 1.

$$-54n^{0}$$

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

$$-54$$