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:
n= 3+ 5
Step-by-step explanation:
C no because 0 repeats you can’t have 2 of the same inputs
I’m confused this doesn’t make since
Answer:
The original price of the pants was $30.
Step-by-step explanation:
Let x be equal to the original price of the pants.
Because the pants are 40% off, their final price was 60% of the original price. 60% as a decimal is 0.6. Using this information, we can set up the following equation and solve:
0.6x=18
Divide both sides by 0.6
0.6x/0.6=18/0.6
x=30
I hope this helps!