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Basic Calculus Flashcards | StudBud
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Basic Calculus
Basic Calculus
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11-STEM A & B
Flashcards
20 cards
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Questions
20
Answers
1
Find the derivative of 9x¹³ + 12x¹² - 5x³ - 6
117 x¹² + 144x¹¹ - 15x²
-117 x¹² - 132x¹¹ + 15x²
117 x¹³ + 132x¹² - 15x³
139 x¹² + 1212x¹¹ - 53x²
2
In calculus, Δx is read as?
"delta x"
"increment of x"
"change of x"
all of the above
3
The derivative of product equals 1st function times derivative of 2nd function plus 2nd function times derivatives of 1s
False
True
4
Find the derivative of (x²+3) ÷ (5x+4)
(5x² + 8x - 15) ÷ (5x + 4)²
(5x² + 8x - 15) ÷ (5x - 4)²
(5x² - 8x - 15) ÷ (5x - 4)²
(5x² - 8x + 15) ÷ (5x + 4)²
5
What is the derivative of y = x²+3 ?
x²
2x
x
2x + 1
6
Tangent line is a line that touches a curve at a point. This point is called _____ ?
Point of tangency
Point of intersection
Collinear point
Coplanar plane
7
The following are ways to represent derivatives EXCEPT:
y'
f'(x)
dy / dx
Δx
8
Find the derivative of f(x) = x¹³
13x
13x¹³
13
13x¹²
9
Find the equation of normal line to the curve y = x³ - 6x + 2 at (2, -2)
y = -1/6x - 10/6
y = - 1/6x - 5/3
y'= 3x² - 6
y = 6x - 14
10
The derivative of a constant is always 0?
False
True
11
Differentiate the function: f(x) = (4x-3) (2x+5)
y' = 8x² + 14x - 15
y'= -16x² + 14x
y' = 16x - 14
y'= 16x + 14
12
If the slope of normal line is -1/2, what is the slope of the tangent line?
2
-1
1/2
-2
13
Find the slope of the curve at the given point: y = 4x² - x + 1 at (2, -3)
m = 16
m = 7
m = 15
m = 31
14
The derivative of Pi is 3.14?
True
False
15
Geometrically, it is defined as the slope of tangent line at a point
Derivatives
Normal line
Limits
Integrals
16
Find the derivatives of f(x) = 3x² - x ?
6x² + 1
6x
9x - 1
6x - 1
17
Which of the following is the last step of finding derivatives using "Delta Method"?
Divide both sides by Δy
Subtract y to the given equation
Replace x with (x + Δx) and y with (y + Δy)
Find the limit as Δx —> 0
18
Find the derivatives of y = 8 ?
1/8
0
1
undefined
19
The following are rules of derivatives, except?
Sum and Difference Rule
Product Rule
Identity of a function rule
Algebraic Rule
20
Find the slope of the curve y = 4 - 3x² at (-1 , 1)
-6
- 2
2
6
