(h) Let j(x) = k(x²). j'(x) = j'(2) =

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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What is part h) using the graph?

-6
(a) lim k(x)
x→0
-5
(b) lim k(x) =
x→3
+l-←x
=
(c) lim k(x) =
(e) lim
h→0
(d) lim_k(x) =
x→-1
-4
-3
k(−4+ h) − k(−4)
h
=
-2
2
-1-
0
Ņ
-3
k(x)
(f) k'(-5) =
j' (2)
2
(g) k" (4) =
(h) Let j(x) = k(x²).
¡¹'(x)
=
3
4
Transcribed Image Text:-6 (a) lim k(x) x→0 -5 (b) lim k(x) = x→3 +l-←x = (c) lim k(x) = (e) lim h→0 (d) lim_k(x) = x→-1 -4 -3 k(−4+ h) − k(−4) h = -2 2 -1- 0 Ņ -3 k(x) (f) k'(-5) = j' (2) 2 (g) k" (4) = (h) Let j(x) = k(x²). ¡¹'(x) = 3 4
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