a.
Determine where the function is differentiable.
a.
Answer to Problem 55RE
Differentiablefor all real numbers except x =1.
Explanation of Solution
Given information: Given function is
Calculation:
f(x) is continuous for all real numbers since odd roots have a domain of all real numbers. To determine where f(x) is differentiable ,we must then determine where f’(x) is discontinuous.
b.
Determine where the function is continuous but not differentiable.
b.
Answer to Problem 55RE
So, for x =1
Explanation of Solution
Given information: Given function is
Calculation:
f(x) is continuous for all real numbers since odd roots have a domain of all real numbers. To determine where f(x) is differentiable ,we must then determine where f’(x) is discontinuous.
So, for x =1
c.
Determine where the function neither continuous nor differentiable.
c.
Answer to Problem 55RE
Function neither continuous nor differentiable,nowhere.
Explanation of Solution
Given information: Given function is
Calculation:
f(x) is continuous for all real numbers since odd roots have a domain of all real numbers. To determine where f(x) is differentiable ,we must then determine where f’(x) is discontinuous.
So, for x =1
So, nowhere
Chapter 4 Solutions
Calculus: Graphical, Numerical, Algebraic
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