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Review of Derivatives (through 2-4) Flashcards | StudBud
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Review of Derivatives (through 2-4)
Review of Derivatives (through 2-4)
7 terms
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StudBud Administration
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70 plays
This is a chapter review game for derivatives in a Calculus BC class.
Flashcards
7 cards
F
Practice quiz
P
Host live
L
Questions
7
Answers
1
Which of the following is not true about the derivatives of trig functions?
d/dx cos(x) = -sin(x)
d/dx sec(x) = sec(x)tan(x)
d/dx tan(x) = sec2(x)
d/dx sin(x) = -cos(x)
2
Find y'', the second derivative, for y = x
3
-5x
2
+2
3x2-10x
6
does not exist
6x-10
3
Find y' for y=sin
3
(x)tan(4x)
sin2(x) [3cos(x)tan(4x) + 4sin(x)sec2(4x)]
4sin3(x)sec2(4x)
1
sin2(x) + 4sin(x) - 3cos(x)
4
Find dr/dx for r = tan(2 - x)
sec2(2-x)
-tan(2-x)
sec2(2-x)*(2-x)
-sec2(2-x)
5
Find f'(4) the derivative of f(x)=x
3
24
12
48
64
6
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 = 1/3(x + 3)
y - 2 = 1/3(x - 2)
7
Which of the following represents the power rule?
d/dx(xn) = (n) / (xn)
d/dx(xn) = nxn-1
d/dx(xn) = (n-1)xn
d/dx(xn) = nxn+1