Use the graph of f(x) below to estimate the value of f '(3):

 From the graph attached, f'(3) = 6 will be the answer.

       From the picture attached,

Vertex of the given parabola → (0, 9)

Since, vertex form of the quadratic function is given by,

f(x) = (x - h)² + k

Here, (h, k) is the vertex of the parabola.

By substituting the vertex in the given equation,

f(x) = (x - 0)² + 9

f(x) = x² + 9

Find the derivative of the equation with respect to x,

f'(x) = 2x

For x = 3,

f'(x) = 2(3)

       = 6

   Therefore, f'(x) = 6 will be the answer.

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