Questions from General Calculus

Q: Find f. f ’’(t) = t2 +

Find f. f ’’(t) = t2 + 1/t2, t > 0, f (2) = 3, f ‘(1) = 2

Q: Find f. f ‘‘(x) = 4 + 6x

Find f. f ‘‘(x) = 4 + 6x + 24x2, f (0) = 3, f (1) = 10

Q: Find f. f ‘‘(x) = x3 + sinh

Find f. f ‘‘(x) = x3 + sinh x, f (0) = 1, f (2) = 2.6

Q: Find f. f ‘‘(x) = ex - 2sin

Find f. f ‘‘(x) = ex - 2sin x, f (0) = 3, f (π/2) = 0

Q: Find f. f ‘‘(x) = x-2

Find f. f ‘‘(x) = x-2, x > 0, f (1) = 0, f (2) = 0

Q: Find f. f ’’’(x) = cos x

Find f. f ’’’(x) = cos x, f (0) = 1, f ’’(0) = 2, f ’’’(0) = 3

Q: Given that the graph of f passes through the point (2

Given that the graph of f passes through the point (2, 5) and that the slope of its tangent line at (x, f (x)) is 3 - 4x, find f (1).

Q: Find a function f such that f ,(x) = x3

Find a function f such that f ,(x) = x3 and the line x + y = 0 is tangent to the graph of f .

Q: The graph of a function f is shown. Which graph is

The graph of a function f is shown. Which graph is an antiderivative of f and why?

Q: The graph of a function f is shown. Which graph is

The graph of a function f is shown. Which graph is an antiderivative of f and why?