Calculate the average rate of change of the given function over the given interval. Where appropriate, specify the units of measurement. HINT [See Example 1.] Interval: [0, 2] :l x) 5 6 6 2 Calculate the average late of change of the given function over the given interval. Where appropriate, specify the units of measurement. HINT [See Example 3.] x}: x2 3; [1, 3] \\:| Calculate the average late of change of the given function fever the intervals [3, a + h] where h = 1, 0.1, 0.01, 0.001, and 0.0001. (Technology is recommended for the cases h = 0.01, 0.001, and 0.0001.) HINT [See Example 4.] x} 2 16x2; 3 = 0 h: 0.001 \\:| h: 0.0001 \\:| Use a quick approximation to estimate the derivative of the given function at the indicated point. HINT [See Example 2(a}.] (Round your answer to three decimal places.) x}=69x;x=2 rm = E The graph of a function is shown together with the tangent line at a point P. )' H D 9 3. 7. 5. 5. 4. 3. 2. Estimate the derivative of fat the corresponding xvalue. E Estimate the indicated derivative by any method. [Round your answer to three decimal places.) g{t} = %; estimate g'(l} m = E Complete the following. The tangent to the graph of the function fat the point where x = b is the line passing through the point (- , } with slope