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?

see explanation

Step-by-step explanation:

differentiate using the power rule.

( a ) = na , thus

(x² - x + 3 ) = 2x - 1

x = 5 → 2(5) - 1 = 10 - 1 = 9

To find the value of x for minimum , equate to zero

2x - 1 = 0 , then

2x = 1 and

x =

the correct answer is the second option

it's equivalent, so we can say that its equal.

let's call the denominator x and the numerador is 18 less then denominator, x - 18.

multiply

2.x = 5.(x - 18)

2x = 5x - 90

90 = 5x - 2x

90 = 3x

x = 90/3

x = 30

so: