6. Use the graph of the function f below to answer the following y = f(r) (a) draw the tangent line to the graph of f at z= 0 (b) use the graph to estimate the value of the derivative of f at r= 0. (c) at which values of z is f'(x) = 0? (d) at which values of z is the derivative of f undefined? (c) estimate the value of the derivative of f(fS(2}) at z = -2.5, using the graph & derivative rules. (f) use the graph of f to sketch a graph of f'(z), the derivative of f. 2.

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Rate of Change

The relation between two quantities which displays how much greater one quantity is than another is called ratio.

Slope

The change in the vertical distances is known as the rise and the change in the horizontal distances is known as the run. So, the rise divided by run is nothing but a slope value. It is calculated with simple algebraic equations as: