5. Let f be the function defined on [-5, 5] and whose graph y = f (x) is the blue curve below. 4 2 -4 -2 2 -4 Included in this graph are the red curves y = x and y = -x. (i) Define the function G(x) = | [f(t)² – t²] dt. What is G'(x)? -5 (ii) What are the critical points of G? (iii) Classify the critical points of G as either local minima or local maxima.
5. Let f be the function defined on [-5, 5] and whose graph y = f (x) is the blue curve below. 4 2 -4 -2 2 -4 Included in this graph are the red curves y = x and y = -x. (i) Define the function G(x) = | [f(t)² – t²] dt. What is G'(x)? -5 (ii) What are the critical points of G? (iii) Classify the critical points of G as either local minima or local maxima.
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter6: Applications Of The Derivative
Section6.CR: Chapter 6 Review
Problem 1CR
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