CALCULUS HELP
posted by Herosugar .
Find the second derivative for the function 5x^3+60x^236x41
and solve the equation F(X)=0
i got to the second derivative but what do we do next to be able to get one of these answers..
F(x) = 5x3+60x2−36x−41
1. derivative of F(x)
with respect to x = 15x2+120x−36
2. derivative of F(x)
with respect to x = 30x+120
a. 4
b. 5
c. 0
d. 41
e. 36

Your derivatives are correct
As to solving f(x) = 0
5x^3+60x^236x41 = 0 is a tough one, since it does not factor
I used an apps to find
x = 1.11169
x = 12.5227
x = .589024
Respond to this Question
Similar Questions

Calculus
R=M^2(c/2m/3) dR/dM=CMM^2 I found the derivative. Now how would I find the vale of M that maximize the derivative dR/dM? 
Calculus> bobpursley
How do you get m=0? from taking the second derivative? 
Derivatives Math
Can someone explain how to find the derivative of : 1. y= 5^ãx / x And the second derivative of: y= xe^10x For this question I got up to the first derivative and got this y = e^10x + 10xe^10x but I can't seem to get the correct … 
calculus
Please help with this. I need the first derivative of f(x)=4(x+squareroot (x(8x)) and then the second derivative of this to show by the second derivative test that it is a local maximum. This is difficult to put into form here and … 
calculus
Please help with this. I submitted it below but no one responded. I need the first derivative of f(x)=4(x+ then the square root to include (x(8x)), then close bracket.And then the second derivative of this to show by the second derivative … 
calculus
Find the first and second derivative  simplify your answer. y=x/4x+1 I solved the first derivative and got 1/(4x+1)^2 Not sure if I did the first derivative right and not sure how to do the second derivative. 
Calculus
I need to find the second derivative of y=x(x1)^1/2. I found the first derivative is 2x1/2(x1)^1/2, if someone could check, but I am miserably stuck on the second derivative. 
Applied Calculus
Find the first and second derivative of the function: x/(7x+10) Using quotient rule. This is part of my homework in the section named "Higher Order Derivatives". I am confused on getting the second derivative, as I found the first … 
Derivative Test
Consider the function y = 3x5 – 25x3 + 60x + 1. Use the first or second derivative test to test the critical points. How many relative maxima did you find? 
CAL
Consider the function y = 3x^5 – 25x^3 + 60x + 1 Use the first or second derivative test to test the critical points. How many relative maxima did you find?