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 MULTIPLE CHOICE TEST BACKGROUND DIFFERENTIATION

Pick the most appropriate answer.

The definition of the first derivative of a function f(x) is

Given y=5e3x+sin(x), then dy/dx is
5e3x+cos(x)
15e3x+cos(x)
15e3x-cos(x)
2.666e3x-cos(x)

Given y=sin(2x), then dy/dx at x=3 most nearly is
0.9600
0.9945
1.920
1.989

Given y=x3ln(x), then dy/dx is

3x2 ln(x)

3x2 ln(x)+x2

x2
3x

The velocity of a body as a function of time is given as v(t)=5e-2t+4, where  is in seconds,  is in m/s.  The acceleration at t=0.6 in m/s2 is

-3.012
5.506
4.147
-10

If x2+2xy=y2, then dy/dx is
(x+y)/(y-x)
2x+2y
(x+1)/y
-x

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