Consider the function g given by g ( x ) = x 2 + x 2 x . a. a) For what x -value(s) is this function not differentiable ? b. b) What is g ' ( 3 ) ? Describe the simplest way to determine this.
Consider the function g given by g ( x ) = x 2 + x 2 x . a. a) For what x -value(s) is this function not differentiable ? b. b) What is g ' ( 3 ) ? Describe the simplest way to determine this.
Solution Summary: The author calculates the value of g(x) for which the function is not differentiable.
a. a) For what x-value(s) is this function not differentiable?
b. b) What is
g
'
(
3
)
? Describe the simplest way to determine this.
With integration, one of the major concepts of calculus. Differentiation is the derivative or rate of change of a function with respect to the independent variable.
2. [-/4 Points]
DETAILS
MY NOTES
SESSCALCET2 7.3.002.
Let S be the solid obtained by rotating the region shown in the figure about the y-axis. (Assume a = 6 and b = 2.)
ASK YOUR TEACHER
0
y = a sin(bx²)
Sketch a typical approximating shell.
y
6
4
2
x
π/b
y
2
1
x
0.5
1.0
1.5
0.2
0.4
0.6
0.8
1.0
-2
-1
-4
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)=
Chapter 1 Solutions
Calculus and Its Applications Plus MyLab Math with Pearson eText -- Access Card Package (11th Edition) (Bittinger, Ellenbogen & Surgent, The Calculus and Its Applications Series)
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