# How do you find the derivative of #f(x)=1/4x^2-x+4#?

##### 1 Answer

#### Explanation:

To find the derivative of a polynomial, we can use the sum/difference rules for differentiation, which means that we can take the derivative of each term separated by an addition/subtraction sign separately.

First, let's find the derivative of the first term by using the power rule, which states that the derivative of

When there's a constant in front of a variable, just put the constant to the side for the moment and focus on differentiating the non-constant variable. After that is done, the constant should be multiplied by the new derivative that is obtained.

Next, let's take the derivative of the second term, which is

The last term is a constant, and the derivative of any constant is

Combining all of our answers together, our final result is