6. Determine the equation of the line tangent to y = x+ tan r at the point (7, 7).

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
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Chapter1: Functions And Models
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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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6. Determine the equation of the line tangent to y = x + tan r at the point (T, 7).
7. Determine the equation of the line tangent to the graph given by y =
at the point
x +1
(4, ).
8. Let f(x)
-1
Find f' and f" (the first and second derivatives).
3 - x
9. Let f(x) = x³ + 3x2 +x + 3. Determine the points on f where the tangent line is horizontal.
10. Define
if t <
if 플 <t<n
if t >T
sin t
t2 – nt + +1
등 + 1
h(t) =
(a) Show that h(t) is continuous for all t.
(b) Show that h(t) is NOT differentiable for all t. In particular, show that h(t) is differen-
tiable at t = but NOT differentiable at t = n.
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Transcribed Image Text:6. Determine the equation of the line tangent to y = x + tan r at the point (T, 7). 7. Determine the equation of the line tangent to the graph given by y = at the point x +1 (4, ). 8. Let f(x) -1 Find f' and f" (the first and second derivatives). 3 - x 9. Let f(x) = x³ + 3x2 +x + 3. Determine the points on f where the tangent line is horizontal. 10. Define if t < if 플 <t<n if t >T sin t t2 – nt + +1 등 + 1 h(t) = (a) Show that h(t) is continuous for all t. (b) Show that h(t) is NOT differentiable for all t. In particular, show that h(t) is differen- tiable at t = but NOT differentiable at t = n. EN 9:59 ») ENG 3/3/2 F7 F8 F9 F10 F12 PrtScn Insert Delete & 5 6 7 8. 3D G H K
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