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iii) State the points of local maximum and local minimum values for f.

iii) State the points of local maximum and local minimum values for f.

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section5.1: Inverse Functions
Problem 56E
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Question 3b iii.)
3. The graph of a function f is given below. -5 -4 -3 -2 3 4 5 A. Evaluate each quantity, if it exists: a) lim,1- S(z) = b) lim,-1+ f(z) = c) lim,-0 f(z) = d) lim, f(z) = B. i) State the points where f is not continuous. Explain why not. ii) State the points where f is not differentiable. Explain why not. iii) State the points of local maximum and local minimum values for f iv) Does this function admit any points of absolute maximum/absolute minimum? Ex- plain. 4. Recall that 4 (In z) = 1, () = e, and that (a") = a" In a, where a> 0 is a constant (as deduced in class). Apply the Power Rule, combined to the Constant Multiple Rule, the Sum Rule, the Difference Rule, the Product Rule, the Quotient Rule, and/or the Chain Rule to compute the derivative of each one of the following functions: a) (=) = V= b) S(2) = V=+ 4z – 5 c) f(2) = In (z² + 7) d) f(z) = In (In z) e) f(z) = /3sin(5z) f) sin z f(2) = cosz Bring your answer to the simplest possible form. g) flz) =
Transcribed Image Text:3. The graph of a function f is given below. -5 -4 -3 -2 3 4 5 A. Evaluate each quantity, if it exists: a) lim,1- S(z) = b) lim,-1+ f(z) = c) lim,-0 f(z) = d) lim, f(z) = B. i) State the points where f is not continuous. Explain why not. ii) State the points where f is not differentiable. Explain why not. iii) State the points of local maximum and local minimum values for f iv) Does this function admit any points of absolute maximum/absolute minimum? Ex- plain. 4. Recall that 4 (In z) = 1, () = e, and that (a") = a" In a, where a> 0 is a constant (as deduced in class). Apply the Power Rule, combined to the Constant Multiple Rule, the Sum Rule, the Difference Rule, the Product Rule, the Quotient Rule, and/or the Chain Rule to compute the derivative of each one of the following functions: a) (=) = V= b) S(2) = V=+ 4z – 5 c) f(2) = In (z² + 7) d) f(z) = In (In z) e) f(z) = /3sin(5z) f) sin z f(2) = cosz Bring your answer to the simplest possible form. g) flz) =
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