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Chapter 3 Review: Derivatives Flashcards | StudBud
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Chapter 3 Review: Derivatives
Chapter 3 Review: Derivatives
13 terms
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This is a chapter review game for derivatives in a Calculus BC class.
Flashcards
13 cards
F
Practice quiz
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Host live
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Questions
13
Answers
1
Find an equation for the line tangent to the curve f(x)= (x
3
+1) / (2x) at x=1
y - 1 = 1/2(x - 1)
y = 1/2(x - 1)
y - 2 = 1/3(x - 2)
y = 1/3(x + 3)
2
If f has a derivative at x=a, then f is continuous at x=a.
False
True
3
Find dy/dx for y = (x) / (1 + cos(x))
[1+cos(x)+xsin(x)] / [1+2cos(x)+cos2(x)]
[1-cos(x)+3xsin(x)] / [1+2cos(x)+cos2(x)]
[1] / [1+2cos(x)+cos2(x)]
[1+cos(x)+xsin(x)]
4
Find dr/dx for r = tan(2-x)
-sec2(2-x)
sec2(2-x)
-tan(2-x)
sec2(2-x)*(2-x)
5
For the graph below, does f'(0) exist?
yes
no
6
Find y'', the second derivative, for y = x
3
-5x
2
+2
does not exist
6
6x-10
3x2-10x
7
If a particle's position is represented by s(t)=t
2
-4t+3, find the acceleration at t=3
1/2
does not exist
2
6
8
Using implicit differentiation, find dy/dx for x
2
- xy + x
2
= 7
dy/dx = 1
none of the above
dy/dx = (y-2x) / (2y-x)
dy/dx = (y^2) / (-2x + y)
9
Find f'(x) for f(x) = (x
2
+1)(x
3
+3)
5x4+3x
5x4+6x
5x4+3x2+6x
5x-3x2+6
10
Which of the following is not true about the derivatives of trig functions?
d/dx cos(x) = -sin(x)
d/dx tan(x) = sec2(x)
d/dx sec(x) = sec(x)tan(x)
d/dx sin(x) = -cos(x)
11
If a particle's position is represented by s(t)=(t
2
-4t+3) / (t+1), find the velocity at t=2
1/9
9
1/3
2/9
12
Which of the following represents the power rule?
d/dx(xn) = (n-1)xn
d/dx(xn) = (n) / (xn)
d/dx(xn) = nxn+1
d/dx(xn) = nxn-1
13
Which of the following is not true about the derivatives of trig functions?
d/dx tan(x) = sec2(x)
d/dx sin(x) = cos(x)
d/dx cot(x) = -csc2(x)
d/dx csc(x) = csc(x)cot(x)
