# Domain and Derivative Function Questionnaire

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4. [-/3 Points]
DETAILS
SCALCET9 2.XP.8.016.
Find the derivative of the function using the definition of derivative.
3
g(t) =
g(0)
ve
g'(t) =
State the domain of the function. (Enter your answer using interval notation.)
State the domain of its derivative. (Enter your answer using interval notation.)
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5
Dointel
STAI
CACETO 3 Y 2017
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5. [-73 Points)
DETAILS
SCALCET9 2.XP.8.017.
Find the derivative of the function using the definition of derivative.
g(x) = 72-*
g'(x) =
State the domain of the function. (Enter your answer using interval notation.)
State the domain of its derivative. (Enter your answer using interval notation.)
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6. [-/3 Points]
DETAILS
SCALCET9 2.XP.8.014.
Find the derivative of the function using the definition of derivative.
6. [-/3 Points]
DETAILS
SCALCET9 2.XP.8.014.
Find the derivative of the function using the definition of derivative.
1 – 4t
G(t)
6 +t
G'(t) =
State the domain of the function. (Enter your answer using interval notation.)
State the domain of its derivative. (Enter your answer using interval notation.)
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Watch It
7. [-12 Points]
DETAILS
SCALCET9 2.8.053.
Use the definition of derivative to find f'(x) and f”(x).
f(x) = 5x² + 8x + 1
Fl(x)
7. [-12 Points]
DETAILS
SCALCET9 2.8.053.
Use the definition of derivative to find f'(x) and F”(x).
F(x) = 5×2 + 3x + 1
=
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8. [-17 Points]
DETAILS
SCALCET9 2.8.059.
Show that the function f(x) = 5x – 2] is not differentiable at 2.
We have
if x 2 2
f(x) = (x – 2) =
if x < 2. 8. [-17 Points] DETAILS SCALCET9 2.8.059. Show that the function f(x) = (x - 2] is not differentiable at 2. We have if x > 2
f(x) = (x – 2) =
if x < 2. The right-hand limit is lim f(x) – f(2) X-2 *-27 and the left-hand limit is f(x) - F(2) X-2 lim X-2 = Since these limits are not equal, f'(2) = lim f(x) – f(2) does not exist and f is not differentiable at 2. X2 x = 2 Find a formula for f' and sketch its graph. if x = 2 f'(x) = if x < 2 Graph Layers 7 6 After you add an object to the graph you Craph layers to view and edit its X2 EXISE and X-2 is not differentiable at 2. Find a formula for f' and sketch its graph. if x > 2

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