Find the derivative of the function using the limit definition of a derivative (the limit as h approaches 0 of ( f(x + h) - f(x))/h) and evaluate the derivative at the given x-value. 6) f(x)=2x2+x-3 at x = 4 7) f(x)= 8 X-4 == at x = -1
Find the derivative of the function using the limit definition of a derivative (the limit as h approaches 0 of ( f(x + h) - f(x))/h) and evaluate the derivative at the given x-value. 6) f(x)=2x2+x-3 at x = 4 7) f(x)= 8 X-4 == at x = -1
College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter4: Exponential And Logarithmic Functions
Section: Chapter Questions
Problem 3CC: If xis large, which function grows faster, f(x)=2x or g(x)=x2?
Related questions
Question
![Find the derivative of the function using the limit definition of a derivative
(the limit as h approaches 0 of ( f(x + h) - f(x))/h)
and evaluate the derivative at the given x-value.
6) f(x)=2x2+x-3 at x = 4
8
7) f(x) = -x-4
8) f(x) =
Find an equation for the line tangent to the graph of the given function at the indicated point.
Use the limit definiton of a derivative to compute the slope of the tangent line.
36
x-3
A) y = - 36x + 72
at x = -1
9) f(x) = x3 - x² at (0, 0)
A) y = 1
12)
10) y=-10√√x+2 at x = 1
when x = 2
2
y
List the x-values in the graph at which the function is not differentiable.
11)
2
1
A) x = -2, x=0, x=2
C) x = 0
y
A) x=0, x= 3
C) x = 3
st
-2
B) y = 72x + 108
B) y = 3
C) y=-36x + 36
x
C) y = -2
D) y = - 36x
6)
D) y = 0
7)
10)
B) Function is differentiable at all points.
D) x = -2, x = 2
B) Function is differentiable at all points.
D) x = 0
8)
9)
11)
12)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F3f1313f5-cfda-4599-9ce0-f5a0f6a3abd6%2F2937fcc7-895f-40ac-a831-d1449a410044%2F2zye0nk_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Find the derivative of the function using the limit definition of a derivative
(the limit as h approaches 0 of ( f(x + h) - f(x))/h)
and evaluate the derivative at the given x-value.
6) f(x)=2x2+x-3 at x = 4
8
7) f(x) = -x-4
8) f(x) =
Find an equation for the line tangent to the graph of the given function at the indicated point.
Use the limit definiton of a derivative to compute the slope of the tangent line.
36
x-3
A) y = - 36x + 72
at x = -1
9) f(x) = x3 - x² at (0, 0)
A) y = 1
12)
10) y=-10√√x+2 at x = 1
when x = 2
2
y
List the x-values in the graph at which the function is not differentiable.
11)
2
1
A) x = -2, x=0, x=2
C) x = 0
y
A) x=0, x= 3
C) x = 3
st
-2
B) y = 72x + 108
B) y = 3
C) y=-36x + 36
x
C) y = -2
D) y = - 36x
6)
D) y = 0
7)
10)
B) Function is differentiable at all points.
D) x = -2, x = 2
B) Function is differentiable at all points.
D) x = 0
8)
9)
11)
12)
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