Holistic Numerical Methods

Transforming Numerical Methods Education for the STEM Undergraduate

  
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MULTIPLE CHOICE TEST

(All Tests)

BACKGROUND

(More on Differentiation)

DIFFERENTIATION

(More on 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

  

 

Complete Solution

 

 

Multiple choice questions on other topics        

 

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Copyrights: University of South Florida, 4202 E Fowler Ave, Tampa, FL 33620-5350. All Rights Reserved. Questions, suggestions or comments, contact kaw@eng.usf.edu  This material is based upon work supported by the National Science Foundation under Grant# Creative Commons License0126793, 0341468, 0717624,  0836981, 0836916, 0836805, 1322586.  Any opinions, findings, and conclusions or recommendations expressed in this material are those of the author(s) and do not necessarily reflect the views of the National Science Foundation.  Other sponsors include Maple, MathCAD, USF, FAMU and MSOE.  Based on a work at http://mathforcollege.com/nm.  Holistic Numerical Methods licensed under a Creative Commons Attribution-NonCommercial-NoDerivs 3.0 Unported License.

  

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