Question #57194 Calculus Graphing with the Second Derivative Relationship between First and Second Derivatives of a Function 1 Answer t0hierry Apr 4, 2017 #f = x^3 - 5sin x + ax + b# Explanation: #f' = 3x^2 - 5cosx + a# #f(0)=3# means #b=3# #f'(0)=2# means #a=5# #f(x) = x^3 - 5 sin x + 2x +3# Answer link Related questions What is the relationship between the First and Second Derivatives of a Function? Question #64fc4 What are the first two derivatives of #y = 2sin(3x) - 5sin(6x)#? What is the second derivative of the function #f(x)=sec x#? If #f(x)=sec(x)#, how do I find #f''(π/4)#? What is the second derivative of #g(x) = sec(3x+1)#? How do you use the second derivative test to find the local maximum and minimum for... What is the first and second derivative of #1/(x^2-x+2)#? What is the second derivative of #x/(x-1)# and the first derivative of #2/x#? What does the 2nd Derivative Test tell you about the behavior of #f(x) = x^4(x-1)^3# at these... See all questions in Relationship between First and Second Derivatives of a Function Impact of this question 1523 views around the world You can reuse this answer Creative Commons License