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Estimate the derivative of the curve at the following x-values. x-2 Xm-4 x=O 2. Consider the function S(x) = r -61 4 51 + 18.

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Estimate the derivative of the curve at the following x-values. x-2 Xm-4 x=O 2. Consider the function S(x) = r" -61 4 51 + 18. Part of the graph of S is shown below. (3) (n) Find S'(s). (b) There are two points at which the gradient of the graph of f is 20. Find the x-coordinates [3] of these points. (c) Sketch the tangent lines at the points found In part b on the graph. [2] -5 -4 -3-2 -10 3. The motion of a particle can be described by s(t) = a. Determine the average velocity from is to 4s [2] b. Detennine the instantaneous velocity at 4s [3] Scanned with CamScanner

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