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Calculus Review Derivatives (thru 4-3) Flashcards | StudBud
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Calculus Review Derivatives (thru 4-3)
Calculus Review Derivatives (thru 4-3)
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1
When finding the tangent to the curve at a given point you should ___ to find the slope.
take the derivative and set = to 0
plug x into the original equation
take the derivative and plug the x value in
give up
2
d/dx 4 =
0
4
4x
3
The derivative of tan(x
2
) is
sec2(x2)
2tanx
2tan(x2)
2xsec2(x2)
4
d/dx of x<span style="font-size: 13.3333px;">
2
+y
2
=4 is</span>
y/x
-y/x
-x/y
x/y
5
d/dx sin
-1
x =
1/√(1-x2)
1/cosx
-1/sinx
-1/√(1-x2)
6
When looking at a velocity vs. time graph the function is below the x axis, you are moving
right
left
7
Derivative means _____
rate of change
velocity
all of these
slope
8
The derivative of sin
2
x =
-2sinxcosx
2sinx
2cosx
2sinxcosx
9
d/dx (x
2
+2)
3
=
3(x2+2)2
3(2x)2
none of these
3(x2+2)2(2x)
10
The derivative of position is _____
speed
acceleration
velocity
jerk