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Calculus Quiz Preview 4.1-4.6 Flashcards | StudBud

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Calculus Quiz Preview 4.1-4.6

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Review of Basic Derivatives for Calculus

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Questions 8

Answers

1
What is the slope of the normal line to the curve y=2x²+7 at the point where x=1.75?
4
7
-1/3
-1/7
2
What is the y-intercept of the line tangent to the curve y=3x²+19 at the point where x=-5?
94
19
56
-56
3
Find the Derivative: f(x)=9x²/cosx
f'(x)=(18xcosx+9x2sinx)/cos2x
f'(x)=18xcosx+9x2sinx
f'(x)=(18xcosx-9x2sinx)/cos2x
f'(x)=18xcosx-9x2sinx
4
Find the derivative of h(x)=(x-3)³
h'(x)=3x2+18x-27
h'(x)=3x2-18x+27
h'(x)=3x2
h'(x)=3x2+18x+27
5
Evaluate
1
0
-3
-1
6
Find the derivative:
f'(x)=6x+3
f'(x)=(73.5x2.5+52.5x1.5+136.5x.5)/(10.5√(3x2))
f'(x)=(73.5x2.5+52.5x1.5+136.5x.5)/(10.5√(x))
f'(x)=9x
7
Evaluate
648
-318
318
-1626
8
Find the derivative: f(x)=5x²e^x
f'(x)=ex(5x2+10x)
f'(x)=(10xex-5x2ex)/e2x
f'(x)=10xex-5x2ex
f'(x)=(10xex+5x2ex)/e2x