(d) Use the following table to evaluate each derivative. I 0 1 2 f(x) 1 3 -2 g(x) f'(x) 1 2 4 -3 0.5 0.25 g'(x) 0.5 -4 10 i. h(x) = f(x) g(x) Find h'(0). ii. p(x) = f(x) g(x). Find p'(1). iii. q(x) = f(g(x)). Find q'(1).
(d) Use the following table to evaluate each derivative. I 0 1 2 f(x) 1 3 -2 g(x) f'(x) 1 2 4 -3 0.5 0.25 g'(x) 0.5 -4 10 i. h(x) = f(x) g(x) Find h'(0). ii. p(x) = f(x) g(x). Find p'(1). iii. q(x) = f(g(x)). Find q'(1).
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Question
![(d) Use the following table to evaluate each derivative.
x f(x) g(x) f'(x) g'(x)
0
-10
1
2
1
3
-2
1
-5
2
-3
5
0.5
-10
4 0.25 10
0.5
-4
(g(x)
(e) The graphs of f (x) (red dashed) and g(x) (blue solid) are graphed. Let h(x) = f(x) · g(x),
j(x) = f(), and k(x) = g(f(x)). Use information about f and g to evaluate the derivatives
below:
i. h(x) =
10
f(x)
g(x)
Find h'(0).
ii. p(x) = f(x) · g(x). Find p' (1).
iii. q(x) = f(g(x)). Find q'(1).
i. Compute h'(-4). f(x). g(x)
(f(x) g(x) + f '(x) g(x)
(6)
+
ii. Compute j'(0).
iii. Compute k'(-1)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fe1b1d143-3544-4565-ae01-c2b2100e15ce%2F52c56b37-fcfe-41de-946f-927900318814%2Fb3p9hgv_processed.jpeg&w=3840&q=75)
Transcribed Image Text:(d) Use the following table to evaluate each derivative.
x f(x) g(x) f'(x) g'(x)
0
-10
1
2
1
3
-2
1
-5
2
-3
5
0.5
-10
4 0.25 10
0.5
-4
(g(x)
(e) The graphs of f (x) (red dashed) and g(x) (blue solid) are graphed. Let h(x) = f(x) · g(x),
j(x) = f(), and k(x) = g(f(x)). Use information about f and g to evaluate the derivatives
below:
i. h(x) =
10
f(x)
g(x)
Find h'(0).
ii. p(x) = f(x) · g(x). Find p' (1).
iii. q(x) = f(g(x)). Find q'(1).
i. Compute h'(-4). f(x). g(x)
(f(x) g(x) + f '(x) g(x)
(6)
+
ii. Compute j'(0).
iii. Compute k'(-1)
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