Concept explainers
a.
To write: An equation of the line tangent to the graph of f at x =4.
a.
Answer to Problem 82RE
Explanation of Solution
Given information: The function f is differentiable for all real number and satisfies the condition in the below table .The function g is defined by
Calculation:
b.
To find: The f continuous at x =3 ?
b.
Answer to Problem 82RE
Yes.
Explanation of Solution
Given information: The function f is differentiable for all real number and satisfies the condition in the below table .The function g is defined by
Calculation:
The function f if differentiable for all real numbers .Differentiability implies continuity so if a function is if differentiable for all real numbers is must then be continuous for all real numbers .Since f is d at differentiable at x =3 then it is continuous at x =3.
c.
To find: There is a zero of f in the interval
c.
Answer to Problem 82RE
Yes.
Explanation of Solution
Given information: The function f is differentiable for all real number and satisfies the condition in the below table .The function g is defined by
Calculation:
If
d.
To find:
d.
Answer to Problem 82RE
Explanation of Solution
Given information: : The function f is differentiable for all real number and satisfies the condition in the below table .The function g is defined by
Calculation :
e.
To explain: g is not differentiable at x =4.
e.
Answer to Problem 82RE
Explanation of Solution
Given information: The function f is differentiable for all real number and satisfies the condition in the below table .The function g is defined by
Calculation :
So,
Chapter 3 Solutions
Calculus: Graphical, Numerical, Algebraic: Solutions Manual
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