What is the second derivative of f(t) = (3e^-2t) - (5e^-t) ? Calculus Graphing with the Second Derivative Relationship between First and Second Derivatives of a Function 1 Answer Binayaka C. Aug 5, 2018 (d^2y)/(dt^2) = - 5/ e^t Explanation: f(t) = (3 e^(-2)t) - (5 e^(-t)) or f(t) = (3/ e^2 t) - (5 e^(-t)) or f^'(t) = (3/ e^2 ) - (5 e^(-t)*(-1)) or f^'(t) = (3/ e^2 ) + (5 e^(-t)) or (d^2y)/(dt^2) = 0 + (5 e^(-t)*(-1)) or (d^2y)/(dt^2) = - (5 e^(-t)) or (d^2y)/(dt^2) = - 5/ e^t [Ans] 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 2546 views around the world You can reuse this answer Creative Commons License