Lab #2 - Solutions


Topics in this lab

Introduction

Back to lab exercises.

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Exercise 1

>> f = @(x) 4*x - 12
f = 

    @(x)4*x-12

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Exercise 2

>> f = @(x) tanh(x/10)
f = 

    @(x)tanh(x/10)

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Exercise 3

>> f = @(x) -2*(x + 3)^2 + 5
f = 

    @(x)-2*(x+3)^2+5

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Exercise 4

>> h = @(x) (3*x^3 - 1)/(x^2 + 3)
h = 

    @(x)(3*x^3-1)/(x^2+3)

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Exercise 5

>> g = @(y) y*exp(-y)
g = 

    @(y)y*exp(-y)

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Exercise 6

>> s = @(t) cos(t)
q  = @(t) 1/(s(t)^2 + 1)
s = 

    @(t)cos(t)


q = 

    @(t)1/(s(t)^2+1)

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Exercise 7

>> w = @(x) exp(-10*(x-2).^2)
w = 

    @(x)exp(-10*(x-2).^2)

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Exercise 8

>> R = @(x) (x + 2)^(sin(pi*x))
R = 

    @(x)(x+2)^(sin(pi*x))

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Exercise 9

>> T = @(x,y) 5/x^2 - 1 + y + 0.5*x^2/y
T = 

    @(x,y)5/x^2-1+y+0.5*x^2/y

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Exercise 10

>> f = @(x) cos(x)
g = @(x) x^2
h = @(x) f(x)*g(x)
fp = @(x) -sin(x)
gp = @(x) 2*x
hp = @(x) f(x)*gp(x) + fp(x)*g(x)
f = 

    @(x)cos(x)


g = 

    @(x)x^2


h = 

    @(x)f(x)*g(x)


fp = 

    @(x)-sin(x)


gp = 

    @(x)2*x


hp = 

    @(x)f(x)*gp(x)+fp(x)*g(x)

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Get the code

Do you want to try the above code fragments on your own? Download the Matlab script that produces this page here. (lab_2_solns.m)

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