Holistic Numerical Methods Institute

committed to bringing numerical methods to undergraduates

Multiple Choice Test

Background on Differentiation

Q1. The definition of the first derivative of a function f(x) is

 

 

Q2. Given y=5e3x+sin(x), then dy/dx is
 5e3x+cos(x)
15e3x+cos(x)
 15e3x-cos(x)
 2.666e3x-cos(x)

 

 

Q3. Given y=sin(2x), then dy/dx at x=3 most nearly is
 0.9600
 0.9945
 1.920
 1.989

 

Q4. Given y=x3ln(x), then dy/dx is

3x2 ln(x)

3x2 ln(x)+x2

x2
 3x

 

Q5. 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

 

Q6. If x2+2xy=y2, then dy/dx is
 (x+y)/(y-x)
 2x+2y
 (x+1)/y
 -x

  

 

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