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Duplicate of Unit 2 Derivatives Flashcards | StudBud
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Duplicate of Unit 2 Derivatives
Duplicate of Unit 2 Derivatives
12 terms
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derivative galore #senioryear #math #derivatives #calculus
Flashcards
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Questions
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Answers
1
Write the gradient of the normal line to y = x
3
- 2x at x = 2?
1
3x2 - 2
x3
-1
2
Find the derivative using the chain rule.
18x2(x3+5)5
24x2(x3+5)5
6(x3+5)5
18x2(x6+5)5
3
The derivative of log
e
(3x
2
+ 2x) is
1/(3x2 + 2x)
(6x + 2)/(3x2 + 2x)
6x/3x2
3/(x + 2)
4
The expression representing the derivative of 6x
2
- 12x is
6x2-12x
-12x+12
12x-12
12x+12
5
The expression that represents the derivative of y = - 4x
-3
is
12x-4
12x-2
-48x-5
-12x-4
6
The equation you need to expand and simplify to find the equation of the tgt at (1, 4) is
y-4= -10(x-1)
y-4= 10(x+1)
y-4= 10(x-1)
y+4= 10(x-1)
7
Find the slope of the tangent at x = 2 .
-2
-6
- 3
0
8
Find the derivative of the following functions using the chain rule.
-20x/ (10x2-3)2/3
10x/ (10x2-3)2/3
20x/ (10x2-3)2/3
20x/ (10x2+3)2/3
9
The derivative of e
-5x
is
-5e-6x
-5xe-6x
-5e-5x
e-5x
10
Find the derivative using the chain rule.
f'(x)= -10x(x2+1)
f'(x)= -40x(2x+1)
f'(x)= -40x(x2+1)
f'(x)= -10(x2+1)
11
the derivative of log
e
(2x) is
1/2x
2
1/x
2/x
12
Find the derivative using the product rule. Factor out common terms.
f'(x)= -16x3(3x2+1)
f'(x)= -16x3(3x2-1)
f'(x)= 16x3(3x2-1)
f'(x)= 8x3(3x2-1)
