Question

Let f(x)=5x3−60x+5
Input the interval(s) on which f is increasing.
(-inf,-2)U(2,inf)
nput the interval(s) on which f is decreasing.
(-2,2)
Find the point(s) at which f achieves a local maximum.



Find the point(s) at which f achieves a local minimum.



Find the intervals on which f is concave up.



Find the intervals on which f is concave down.



Find all inflection points.

Answer 1

I need help with the rest

Answer 2

@sourwing

Answer 3

if yall could help solve this really quick, it would mean the world

Answer 4

did you sketch the function?
what is f(0)?
did you find the derivative and set = 0 to get the maximum/minimum?
find the value of the function at these turning points

Answer 5

i dont have enough time :(

Answer 6

i just need the answers

Answer 7

when x = 2 f(x) = 5(2)^3-60(2) +5 =
when x = -2 f(x) = 5(-2)^3-60(-2) + 5=

d2y/dx2 = 30x x = 2 +ve so minimum
30(-2) -ve so maximum