Can you help me with these questions? Thank you so much!
1. /7 pointsSEssCalcETl 2.2.001. Use the given graph to estimate the value of each derivative. (Round all answers to one decimal place.) IIIHIIII mam-III- III\" III In.\" I." nllnlll A U- v 'h A I I N v (C) f'(-1) H (d) f' (0) H (e) f'(1) U (f) f ' (2) U (9) f' (3) U 2. /1 pointsSEssCalcETl 2.2.004. Trace or copy the graph of the given function f. (Assume that the axes have equal scales.) Then use the method of this example to sketch the graph of f ' below it. A No Lu W \f4. /1 pointsSEssCalcETl 2.2.006. Trace or copy the graph of the given function f. (Assume that the axes have equal scales.) Then use the method of this example to sketch the graph off' below it. y 0 x at 0% 04% t 5. /1 pointsSEssCalcETl 2.2.007. Trace or copy the graph of the given function f. (Assume that the axes have equal scales.) Then use the method of this example to sketch the graph off' below it. y it as 0% it 6. /1 pointsSEssCalcETl 2.2.010. Trace or copy the graph of the given function f. (Assume that the axes have equal scales.) Then use the method of this example to sketch the graph off' below it. y t ht Ah git 7. /12 pointsSEssCalcETl 2.2.017.MI.SA. This question has several parts that must be completed sequentially. If you skip a part of the question, you will not receive any points for the skipped part, and you will not be able to come back to the skipped part. You are given the following function. f(x) = %x % Exercise (a) Find the derivative of the function using the definition of derivative. Exercise (b) State the domain of the function. Exercise (c) State the domain of its derivative. Need Help? 8. /9 pointsSEssCalcETl 2.2.020. You are given the following function. f(b) = b + v5 (a) Find the derivative of the function using the definition of derivative. f'(b) = (b) State the domain of the function. (If you need to use -oo or 00, enter -INFINITY or INFINITY.) A \"SI: (c) State the domain of its derivative. (If you need to use -oo or co, enter -INFINITY or INFINITY.) A ICII-I:l Need Help? __ 9. /9 pointsSEssCalcETl 2.2.019. You are given the following function. f(X)=x3-4x+6 (a) Find the derivative of the function using the definition of derivative. f'(x) = (b) State the domain of the function. (If you need to use -oo or 00, enter -INFINITY or INFINITY.) A A HE]: (C) State the domain of its derivative. (If you need to use -oo or co, enter -INFINITY or INFINITY.) um Neeeneup? _ 10./2 pointsSEssCalcETl 2.2.027. The graph of fis given. State the numbers at which fis not differentiable. x = |:| (smaller value) x = l: (larger value) Need Hep? 11./2 pointsSEssCalcETl 2.2.028. The graph of fis given. State the numbers at which fis not differentiable. x = |:| (smaller value) X = I: (larger value) Need Help? 12./1 pointsSEssCalcETl 2.2.033. The figure shows the graphs of f, f', and f". Identify each curve. Need Help? 13./4 pointsSEssCalcETl 2.2.034. The figure shows graphs of f, f ', f \15./10 pointsSEssCalcETl 2.2.AE.01. 0) Video Example-0)) Tutorial Online Textbook EXAMPLE 1 The graph of a function fis given to the left. Use it to sketch the graph of the derivative f'. SOLUTION We can estimate the value of the derivative at any value ofx by drawing the tangent at the point (x, f()) and estimating its slope. For instance, for x = 5 we draw the tangent at P in the figure and estimate its slope to be about 3/2, so f '( |:]) = CI . This allows us to plot the point P '( |:| , E) on the graph of f' directly beneath P. Repeating this procedure at several points, we get the lower graph shown in the figure. Notice that the tangents at A, B, and El are horizontal, so the derivative is El there and the graph of f' crosses the x-axis at the points A', B', and C ', directly beneath A, B, and C. Between A and B the tangents have slope. so r xx) is there. But between B and C the tangents have slope, so f '(x) is there. \f
