Calculus Derivatives Question Preview (ID: 48318)


Derivatives. TEACHERS: click here for quick copy question ID numbers.

What is the derivative of x^2+7x-2 at 0?
a) 2
b) 0
c) 7
d) 9

What is the derivative of 17x^(-2)-7x^3-2x at -3?
a) 34/27
b) -151/27
c) 151/27
d) -34/27

What is the derivative of (3x-2)(5x^3-x^2+1) at 4?
a) 3235
b) 3050
c) 3124
d) 3325

What is the derivative of x^3/(x-1) at 9?
a) 1215/8
b) 1215/64
c) 729/8
d) 729/64

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) -144 m/s
b) 144 m/s
c) 96 m/s
d) -96 m/s

Find the derivative of (cscx - cotx)(cscx + cotx) at pi/2.
a) 1
b) -1
c) 0
d) 2

Find dy/dx of xy+x=2.
a) (-y-1)/x
b) (y-1)/x
c) (x-1)/y
d) (-x-1)/y

Find the derivative of ln⁡(x-6) at 3.
a) 1/3
b) -1/2
c) -1/3
d) 1/2

Find the derivative of (x^2-3x+10) e^x.
a) (1/x)(x^2-x+7)
b) (1/x)(2x-3)
c) e^x(2x-3)
d) e^x(x^2-x+7)

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) 342 ft
c) 54 ft
d) 133 ft

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