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Calculus Derivatives
Test Description: Derivatives
Instructions: Answer all questions to get your test result.
1) What is the derivative of x^2+7x-2 at 0?
A
7
B
0
C
9
D
2
2) What is the derivative of 17x^(-2)-7x^3-2x at -3?
A
151/27
B
-151/27
C
34/27
D
-34/27
3) What is the derivative of (3x-2)(5x^3-x^2+1) at 4?
A
3124
B
3235
C
3050
D
3325
4) What is the derivative of x^3/(x-1) at 9?
A
1215/64
B
1215/8
C
729/8
D
729/64
5) A ball dropped from the top of a building has a height of s=144-16t^2 meters after t seconds. What is the ball’s velocity at the moment of impact?
A
-96 m/s
B
96 m/s
C
144 m/s
D
-144 m/s
6) Find the derivative of (cscx - cotx)(cscx + cotx) at pi/2.
A
-1
B
1
C
0
D
2
7) Find dy/dx of xy+x=2.
A
(-x-1)/y
B
(x-1)/y
C
(-y-1)/x
D
(y-1)/x
8) Find the derivative of ln(x-6) at 3.
A
-1/3
B
1/2
C
-1/2
D
1/3
9) Find the derivative of (x^2-3x+10) e^x.
A
e^x(x^2-x+7)
B
e^x(2x-3)
C
(1/x)(x^2-x+7)
D
(1/x)(2x-3)
10) The driver of a car traveling at 54 ft/sec suddenly applies the brakes. The position of the car is s=54t-3t^2, t seconds after the driver applies the brakes. How far does the car go before coming to a stop?
A
243 ft
B
54 ft
C
342 ft
D
133 ft
*select an answer for all questions
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