Question

Identify the graphs A (blue), B(red) and C (green) as the graphs of a function f(x) and its derivatives f'(x) and f''(x). (Clicking on the sketch will give you a version of the picture in a separate window.) is the graph of the function, f(x). is the graph of the function's first derivative, f'(x). is the graph of the function's second derivative, f''(x). Hint: Remember that f'(x) is itself a function, and we can find the derivative of the function f'(x), which is called the second derivative of the function f(x) and denoted by f''(x).

          Identify the graphs A (blue), B(red) and C (green) as the graphs of a function f(x) and its derivatives f'(x) and f''(x).
(Clicking on the sketch will give you a version of the picture in a separate window.)
is the graph of the function, f(x).
is the graph of the function's first derivative, f'(x).
is the graph of the function's second derivative, f''(x).
Hint: Remember that f'(x) is itself a function, and we can find the derivative of the function f'(x), which is called the second derivative of the function f(x) and denoted by f''(x).

Identify the graphs A (blue), B(red) and C (green) as the graphs of a function f(x) and its derivatives f'(x) and f”(x).
(Clicking on the sketch will give you a version of the picture in a separate window.)
is the graph of the function, f(x).
is the graph of the function's first derivative, f'(x).
is the graph of the function's second derivative, f”(x).
Hint: Remember that f'(x) is itself a function, and we can find the derivative of the function f'(x), which is called the second derivative of the function f(x) and denoted by f”(x).

Added by Michael P.

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