2 1. Given: h (t) = : ; Find h'(t). On (t) = 8t° (1+t²) (1²+2)³ 8° (t² –1) (1²+2)° ON (t)* O (t) -8t3 (t² +2)³ O (E) None of the choices Oh (t) 8t (t² +2)*
2 1. Given: h (t) = : ; Find h'(t). On (t) = 8t° (1+t²) (1²+2)³ 8° (t² –1) (1²+2)° ON (t)* O (t) -8t3 (t² +2)³ O (E) None of the choices Oh (t) 8t (t² +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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Please answer #1 - #6 and show the complete solutions
![2
1. Given: h (t) = [:Fir
4. Using the four-step procedure in finding the
what will be the equation
; Find h'(t).
t² +2
3
derivative of
V2x+1'
before step 4?
8t° (1+t*)
(1² +2)³
Oh (t)
(V2.r+2Ar+1)(/2x+1)[/2z+I+v2x+2Az+1]
h' (t)
8t° (t° –1)
(t² +2)*
-6
(v2z+2Az+1)(v2z+1)[/2z+Iv/2x+2Az+1]
Oh' (t)
-813
-3
(1² +2)*
(/2r+2Az+1)(v2x+1)[/2x+Iy/2x+2Az+1]
O (E) None of the choices
O (E) None of the choices
Oh' (t)
8t3
-3
(t² +2)°
(V2x+2Ax+1)(/2x+1)[/2x+I+v2x+2Ax+1]
2. In the Four-Step Rule, which among the
5. Given: y =
-; Find y'.
steps is the most important, upon which
3(x2 – 3x+5)
the foundation of determining
differential equations rests?
5-z
(22 – 3.x+5)²
Step 2 (subtract f(x) from f(x + Ax) and
simplify)
2² -5
(2² –-3x+5),
O Step 4 (apply the limit Ax → 0) and
simplify.
(E) None of the choices
O (E) None of the choices
a -5
(22 –3.0+5)²
O Step 1 (write f(x) as f(x + Ax))
O Step 3 (divide the difference between f(x
+ Ax) and f(x) by Ax)
5-a?
(x² – 3x+5)*
3. Which of the following statements is true?
(2³ +2x)³
6. Find dy/dx, given the following: y =
V2x–4
O (E) None of the choices
(2*+2x)²
V (2z-4)
O y =
3(32° +2) (z*+2z)
V2z-4
If a curve y=f(x) has a horizontal tangent line at
x=a, then f'la) is undefined.
O (E) None of the choices
(23 +2z)| 17z _36z² +10x–24
V(2z–4)
The slope of the tangent line to the curve y =
O v =
(2x-4)?
x^2 -2x at point (2,0) is 4.
3(3z² +2) (z* +2x)²
O y =
V(2z-4)
If a curve y=f(x) has a vertical tangent line at
x=a, then f'(a)=0.
O y =
(z²+2z)ª
17 -36x +10zr – 24
V2z-4
2x-4
If the tangent line to the graph of y=f(x) at x=3
has a negative slope, then f'(3) < o.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F47c03568-fe9d-4d23-a941-933e6e6a6ddb%2F1accb944-cf37-468e-aa3c-68c3a43766c8%2Ftfycmlg_processed.png&w=3840&q=75)
Transcribed Image Text:2
1. Given: h (t) = [:Fir
4. Using the four-step procedure in finding the
what will be the equation
; Find h'(t).
t² +2
3
derivative of
V2x+1'
before step 4?
8t° (1+t*)
(1² +2)³
Oh (t)
(V2.r+2Ar+1)(/2x+1)[/2z+I+v2x+2Az+1]
h' (t)
8t° (t° –1)
(t² +2)*
-6
(v2z+2Az+1)(v2z+1)[/2z+Iv/2x+2Az+1]
Oh' (t)
-813
-3
(1² +2)*
(/2r+2Az+1)(v2x+1)[/2x+Iy/2x+2Az+1]
O (E) None of the choices
O (E) None of the choices
Oh' (t)
8t3
-3
(t² +2)°
(V2x+2Ax+1)(/2x+1)[/2x+I+v2x+2Ax+1]
2. In the Four-Step Rule, which among the
5. Given: y =
-; Find y'.
steps is the most important, upon which
3(x2 – 3x+5)
the foundation of determining
differential equations rests?
5-z
(22 – 3.x+5)²
Step 2 (subtract f(x) from f(x + Ax) and
simplify)
2² -5
(2² –-3x+5),
O Step 4 (apply the limit Ax → 0) and
simplify.
(E) None of the choices
O (E) None of the choices
a -5
(22 –3.0+5)²
O Step 1 (write f(x) as f(x + Ax))
O Step 3 (divide the difference between f(x
+ Ax) and f(x) by Ax)
5-a?
(x² – 3x+5)*
3. Which of the following statements is true?
(2³ +2x)³
6. Find dy/dx, given the following: y =
V2x–4
O (E) None of the choices
(2*+2x)²
V (2z-4)
O y =
3(32° +2) (z*+2z)
V2z-4
If a curve y=f(x) has a horizontal tangent line at
x=a, then f'la) is undefined.
O (E) None of the choices
(23 +2z)| 17z _36z² +10x–24
V(2z–4)
The slope of the tangent line to the curve y =
O v =
(2x-4)?
x^2 -2x at point (2,0) is 4.
3(3z² +2) (z* +2x)²
O y =
V(2z-4)
If a curve y=f(x) has a vertical tangent line at
x=a, then f'(a)=0.
O y =
(z²+2z)ª
17 -36x +10zr – 24
V2z-4
2x-4
If the tangent line to the graph of y=f(x) at x=3
has a negative slope, then f'(3) < o.
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