How do you find local maximum value of f using the first and second derivative tests: #1/3(y-2)=sin1/2(x-90*) #? Calculus Graphing with the Second Derivative Relationship between First and Second Derivatives of a Function 1 Answer Frederico Guizini S. Apr 19, 2018 See the answer below: 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 1547 views around the world You can reuse this answer Creative Commons License