Use the given graph to estimate the value of each derivative.(a)f '(0) (b)f '(1) (c)f '(2) (d)f '(3) (e)f '(4) (f)f '(5)

Define a function f(x)=e^{x^2+6.9x} for all positive x. Denote f'(x) to be the derivative of f(x). What is the value of f'(0)?

For the function f whose graph is given, state the value of the given quantity, if it exists. (If it does not exist, enter NONE.) (e) f(3)

Use the graph of f to estimate each limit, or write und (meaning undefined) if no limit exists. Use inf for ∞.limx→1−f(x)= limx→1+f(x)= limx→1f(x)=

If F(x) = xf(t) dt2, where f is the function whose graph is given, which of the following values is largest?F(0)F(1)    F(2)F(3)F(4)

Sketch the graph of a function f that satisfies all of the given conditions.lim x→6+ f(x) = 7, lim x→6− f(x) = 5, lim x→−2 f(x) = 5, f(6) = 6, f(−2) = 4