Find the relative extrema, if any, of the function. Use the Second Derivative Test if applicable. (If an answer does not exist,
enter DNE.) g(x) = x3 − 15x
1 answer:
Answer:
We have the function g(x) = x^3 -15*x
First, to find extrema, we can find the zeros of the first derivative.
g'(x) = 3*x^2 -15
g'(x) = 0 = 3*x^2 - 15
x^2 = 15/3 = 5
x = √5
x = -√5
Now, watching at the second derivative we have:
g''(x) = 6*x
so when we have
g''(√5) = 6*√5 > 0 then x = √5 is a local minimum
g''(-√5) = -6*√5 < 0, then x = -√5 is a local maximum.
You might be interested in
Answer:
5 times larger
Step-by-step explanation:
5*10^5 = 500,000
1*10^5 = 100,000
500,000/100,000 = 5
Answer:
Step-by-step explanation:
-3x - 21 + 2x -4
-x - 25
-(x + 25)
Answer:
fhasdfbjsdvbsvljbdsvvbdfvbdwvwdbhvlsvlhsvsjvsxvsklvsj
hope this helps
Step-by-step explanation:
Answer:
b . 4/5
60 :15 minute : 4
3 /15 x 4 = 12/15 = 4/5