Let f and g be functions that satisfy f' (2) = -6 and g' (2) = -3. Find h' (2) for each function h given below: (A) h(x) = 6f(x). h'(2) = (C) h(x) = 4f(x) + 3g(x). h'(2) = (D) h(x) = 8g(x) – 3 f(x). h'(2) = %3D (Е) h(x) —D 10f(х) + 9g(х) + 8. h'(2): (F h(x) — — 12g(х) — 3f(х) — 6х. h'(2) =

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter3: The Derivative
Section3.5: Graphical Differentiation
Problem 1E
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Let f and g be functions that satisfy f' (2) = -6 and g' (2) = -3. Find h' (2) for each function h given below:
(A) h(x) = 6f(x).
h'(2) =
(C) h(x) = 4f(x) + 3g(x).
h'(2) =
(D) h(x) = 8g(x) – 3 f(x).
h'(2) =
%3D
(Е) h(x) —D 10f(х) + 9g(х) + 8.
h'(2):
(F h(x) — — 12g(х) — 3f(х) — 6х.
h'(2) =
Transcribed Image Text:Let f and g be functions that satisfy f' (2) = -6 and g' (2) = -3. Find h' (2) for each function h given below: (A) h(x) = 6f(x). h'(2) = (C) h(x) = 4f(x) + 3g(x). h'(2) = (D) h(x) = 8g(x) – 3 f(x). h'(2) = %3D (Е) h(x) —D 10f(х) + 9g(х) + 8. h'(2): (F h(x) — — 12g(х) — 3f(х) — 6х. h'(2) =
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