Homework Set 7
Name: __Ryan Corley
__
Section:
__4
__
1. The graph of function
f(x)
is given below.
(a) What is the value of the derivative at the x=1 and x=6?
syms x
a=11*sin((7/10)*x2.25)+14
a =11*sin(7/10*x9/4)+14
b=diff (a,x)
b = 3773/1000*cos(7/10*x9/4)
x=1
x = 1
3773/1000*cos(7/10*x9/4)
ans =
0.0785
x=6
x = 6
3773/1000*cos(7/10*x9/4)
ans = 1.3967
I could not figure out the equation for the graph so I created my own that replicated the
original as closely as I could.
Logically speaking though, if you take the derivative of the
graph at 1 and 6 the answers will both be zero since there is no slope at those points.
(b) Is the derivative positive, negative or neither for x <1, 1<x<6,
x>6?
x=7
x = 7
3773/1000*cos(7/10*x9/4)
1
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View Full Documentans =
3.3262
x=3
x = 3
3773/1000*cos(7/10*x9/4)
ans =
3.7306
x=.5
x =0.5000
3773/1000*cos(7/10*x9/4)
ans =
1.2198
For the numbers less than 1 the answers are positive, for answers between 1 and
6 the numbers are negative, and for the numbers greater than 6 the answers are
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 Fall '07
 MonicaHurdal
 Derivative, Canidae, original function, Math and Biology

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