Beginner Calculus Review

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#math Quiz with early #calculus principles including #derivatives #productrule #quotient rule #extrema and #continuity

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Questions 20

Answers

1
Find the x coordinate of the absolute max of this function.
x = 1.6
x = 1/6
x = 1/12
x = 0
2
Find the critical values.
x = -1/2, x = 1
x = -1, x = 0
x = 0, x = 3/2
x = 0, x = 1
3
Find the derivative.
x3+6x-22
3x2-4x+25
18x3-72x2
x3-6x-22
4
For what interval is the graph continuous?
[1,2)
[-2,0]
[0,1)
(-1,1)
5
Find the derivative.
-cos2x+sin2x
sinxcosx-cos2x
cos2x-sin2x
sinx-cosx
6
Find the derivative of 4x^-1/4
-1/x5/4
1/x4
-1x5/4
4/x1/4
7
Find the extrema.
Absolute maximum at x = 3 & x = 4
Absolute minimum at x = 4
Relative maximum at x = 3 & x = 6
Relative maximum at x = 4
8
On which interval is f(x) continuous
[-2,0]
[-1,0]
[-2,-1]
[0,2]
9
On the interval of (2,∞) f(x) is...
continuous
discontinuous @ x=4
discontinuous @x=2
discontinuous @ x=1
10
Find the derivative of 1/x⁸
-8/x7
1/8x
-8/x9
1/x9
11
Find the derivative.
cosx-4x / 2x2
2x2sinx-4xcosx / 4x4
-2x2cosx-4xsinx / 4x4
2x2cosx-4xsinx / 4x4
12
True/False: this function has a relative extrema
True
False
13
Find the derivative of -5/∛x
-5/3x2/3
5/3x2/3
5x2/3/3
5/3x4/3
14
At x=1
f(1)=the limit as x approaches 1
f(x) is continuous
f(x) is discontinuous
15
Find the derivative.
-5x2-8x+10 / (x2+2)2
5-2x / (x2+2)2
5 / 2x
15x2-8x+10 / (x2+2)2
16
What is the derivative of 3x³-2x²+2x+6
9x2-4x+2+6
6x2-4x+2
9x2-4x+2
9x-4x+2
17
Find the derivative.
10xcosx-5x2sinx
-10xsinx
-5x2sinx
10xcosx+5x2sinx
18
Find the x-value at which the function is a maximum
x = -1
x = 1
x = 0
x = -2
19
Over the interval of [-2,1] f(x) is...
discontinuous @ x=0
discontinuous @ x=2
discontinuous @ x=1
continuous
20
Find the derivative of 6x³-cosx+sinx
18x2-cosx+sinx
18x2-sinx+cosx
18x2+sinx+cosx
18x2+sinx-cosx

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