In Exercises 39-44, determine the values of x , if any, at which each function is discontinuous. At each number where f is discontinuous, state the condition(s) for continuity that are violated. 41. f ( x ) = { x + 5 if x ≤ 0 − x 2 + 5 if x > 0
In Exercises 39-44, determine the values of x , if any, at which each function is discontinuous. At each number where f is discontinuous, state the condition(s) for continuity that are violated. 41. f ( x ) = { x + 5 if x ≤ 0 − x 2 + 5 if x > 0
Solution Summary: The author explains that the function is continuous at x when the value of left and right hand limit is equal to its value.
In Exercises 39-44, determine the values of x, if any, at which each function is discontinuous. At each number where f is discontinuous, state the condition(s) for continuity that are violated.
The graph of f', the derivative of f, is shown in the graph below. If f(-9) = -5, what is the value of f(-1)?
y
87 19
6
LO
5
4
3
1
Graph of f'
x
-10 -9 -8 -7 -6 -5 -4 -3 -2 -1
1
2
3
4 5
6
7 8 9 10
-1
-2
-3
-4
-5
-6
-7
-8
564%
Let f(x)=−7e^xsinxf'(x)=
Find dydx for y=tan(5x)/7e3x.dy/dx =
Chapter 2 Solutions
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