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Chapter 3 Review (Derivative Rules) Flashcards | StudBud
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Chapter 3 Review (Derivative Rules)
Find dy/dx when y=e2x-5.
if y=√(sin(x)), then y'=?
Chapter 3 Review (Derivative Rules)
10 terms
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StudBud Administration
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38 plays
Practice on derivatives and tangent lines.
Flashcards
10 cards
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Practice quiz
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Questions
10
Answers
1
if y=√(sin(x)), then y'=?
√(cot(x))
cos(x)/(2√(sin(x)))
cos(x)/√(sin(x))
1/(2√(sin(x)))
2
Find dy/dx when y=e
2x-5
.
2e2x-5
2e2x-6
e2x-5
(2x-5)e2x-5
3
f(x)=e
-x
+x has a horizontal tangent at x=?
-1
1
never
0
4
find dy/dx when y=x
2
cos(x).
2sin(x)
2xcos(x)-x2sin(x)
-2sin(x)
2xcos(x)+x2sin(x)
5
The line tangent to y=x
2
+7x+1 has a slope of 5 at x=?
1
0
1/2
-1
6
Find the slope of the line normal to y=cos(x/2) at x=π/3.
1/4
4
-4
-1/4
7
find f'(x) given f(x)=(x-5)/(x
2
-2).
1/(2x)
(3x2+10x-2)/(x4-4x2+4)
(-x2+10x-2)/(x4-4x2+4)
(-x2+10x-2)/(x4-4)
8
d/dx(sin√(e
2x
-x))=?
cos√(e2x-x)
cos(√(e2x-x))((2e2x-1)/√(e2x-x))
cos(√(e2x-x))((2e2x-1)/(2√(e2x-x)))
cos((2e2x-1)/√(e2x-x))
9
What is the slope of the line tangent to y=5x
2
-x at x=2?
20
21
18
19
10
d/dx(ln(2x
2
-3))=?
1/(2x2-3)
4x/(2x2-3)
2x/(x2-3)
2x/(2x2-3)
