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Concept explainers
Another look at the Fundamental Theorem
70. Use Exercise 69 to prove that if two runners start and finish at the same time and place, then regardless of the velocities at which they run, their displacements are equal.
69. Suppose that f and g have continuous derivatives on an interval [a, b]. Prove that if f(a) = g(a) and f(b) = g(b), then
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Chapter 6 Solutions
Single Variable Calculus: Early Transcendentals & Student Solutions Manual, Single Variable for Calculus: Early Transcendentals & MyLab Math -- Valuepack Access Card Package
Additional Math Textbook Solutions
Glencoe Math Accelerated, Student Edition
Precalculus (10th Edition)
Precalculus Enhanced with Graphing Utilities (7th Edition)
University Calculus: Early Transcendentals (4th Edition)
- Find derivatives of the functions defined as follows. fz=2z+e-z22arrow_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_forwardDetermine whether each of the following statements is true or false, and explain why. The derivative of a product is the product of the derivatives.arrow_forward
- Use graphical differentiation to verify that ddxex=ex.arrow_forwardDetermine whether each of the following statements is true or false, and explain why. The derivative of a quotient is the quotient of the derivatives.arrow_forwardDetermine whether each of the following statements is true or false, and explain why. The chain rule is used to take the derivative of a product of functions.arrow_forward
- Calculus For The Life SciencesCalculusISBN:9780321964038Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.Publisher:Pearson Addison Wesley,
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