Calculation of relative maxima and minima of a function f (x) in a range [a, b]:
We find the first derivative and calculate its roots.
We make the second derivative, and calculate the sign taken in it by the roots of the first derivative, and if:
f '' (a) <0 is a relative maximum
f '' (a)> 0 is a relative minimum
Identify intervals on which the function is increasing, decreasing, or constant. G (x) = 1- (x-7) ^ 2
First derivative
G '(x) = - 2 (x-7)
-2 (x-7) = 0
x = 7
Second derivative
G '' (x) = - 2
G '' (7) = - 2 <0 is a relative maximum
answer:
the function is increasing at (-inf, 7)
the function is decreasing at [7, inf)
Answer:
150000.5
Step-by-step explanation:
300000 x 2000000= 600000000000
600000000000 + 2000000= 600002000000
600002000000/ 4000000= 150000.5
Answer:
x = All Real Numbers
Step-by-step explanation:
5x + 5 + x = 6x + 5
Subtract 5 from both sides
5x + x = 6x
Add the x
6x = 6x
x = Any number in the world
Hope that helps!
It would be n=1 because it grater than 0 and equal to 1
Answer:
1
Step-by-step explanation:
