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 + bf=x3−5sinx+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 1808 views around the world You can reuse this answer Creative Commons License