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Introduction to Calculus! Flashcards | StudBud
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Introduction to Calculus!
Introduction to Calculus!
10 terms
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StudBud Administration
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#math #calculus #differentiation #derivatives
Flashcards
10 cards
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Questions
10
Answers
1
Find the gradient of the tangent to: (2x - 3) / x
2
6x2 - 6x
1 / x
(2 / x) - (3 / x2)
x2 - 3
2
Find f'(x) if f(x) = 7x
2
14x
x2
7x
14x2
3
Find the derivative of: 2 / √x
2 / x3/2
- 1 / x3/2
1 / √x
2 √x
4
Find the derivative of the following:
(2x2 + 2x) / (2x + 1)2
2x / (2x + 1)2
2x / x + 1
2
5
Which rule should you use to calculate the derivative of the following:
Product
Power
Quotient
Chain
6
Find the derivative of the following:
-4(3 - x)-4
4 / 3(3 - x)2
-12(3 - x)2 ⋅ -x
12 / (3 - x)4
7
Which rule should you use to calculate the derivative of the following:
Quotient
Chain
Power
Product
8
Differentiate with respect to x: 6√x
3 / √x
3√x
6 / x
3x
9
Which rule should you use to calculate the derivative of the following:
Quotient
Power
Product
Chain
10
Find the derivative of the following:
2√x(x - 3)2 + 2(x - 3)⋅√x
2(x - 3) / √x (x - 3)
2√x(x - 3)
[(x - 3)2 / 2√x ] + [2(x - 3)⋅√x ]