In Problems 29 and 30, complete the following for each function.
(a) Find f'(x).
(b) Check your result in part (a) by graphing both it and the numerical derivative of the function.
(c) Find x-values for which the slope of the tangent is 0.
(d) Find points (x, y) where the slope of the tangent is 0.
(e) Use a graphing utility to graph the function and locate the points found in part (d).
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Chapter 9 Solutions
Mathematical Applications for the Management Life and Social Sciences
- Explain the relationship between the slope and the derivative of fx at x=a.arrow_forwardYOUR TURN Find an equation of the curve whose tangent line has slope f(x)=3x1/2+4 and passes through the point (1,2).arrow_forwardDetermine whether each of the following statements is true or false, and explain why. The derivative of a sum is the sum of the derivatives.arrow_forward
- Calculus For The Life SciencesCalculusISBN:9780321964038Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.Publisher:Pearson Addison Wesley,