Question

what is that is the derivative of
x^2-x+3 at the point
x=5
What value of x where
x²-x+3
a minimum?
​

Answer 1

Answer:

see explanation

Step-by-step explanation:

differentiate using the power rule.

$\frac{d}{dx}$( a$x^{n}$ ) = na$x^{n-1}$ , thus

$\frac{d}{dx}$(x² - x + 3 ) = 2x - 1

x = 5 → 2(5) - 1 = 10 - 1 = 9

To find the value of x for minimum , equate $\frac{d}{dx}$ to zero

2x - 1 = 0 , then

2x = 1 and

x = $\frac{1}{2}$