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rommel

Guyana
Joined: Aug 4, 2008
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Help with calculus Assignment

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Hello I need help with a calculus assignment

find the dy/dx of the following

1. y=xsins/root of secx

2. y=(x+2)sqrt (x+2)

[Aug 4, 2008 9:54:54 AM]

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pskinner

Joined: Apr 2, 2005
Posts: 694
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Re: Help with calculus Assignment

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Hello I need help with a calculus assignment

find the dy/dx of the following

1. y=xsins/root of secx

2. y=(x+2)sqrt (x+2)

Here's how to handle the second one:

(1) use the product rule, and
(2) use the chain rule:

y'=(x+2)*(d/dy)(sqrt(x+2))+sqrt(x+2)*(d/dy)(x+2)

rewrite sqrt(x+2)=(x+2)^(1/2) so you can use the power rule

y'=(x+2)*(1/2)(x+2)^(-1/2)*(d/dy)(x+2)+(x+2)^(1/2)*1
=(1/2)(x+2)^(1/2)+(x+2)^(1/2)
=(3/2)(x+2)^(1/2)
=(3/2)sqrt(x+2)

where (d/dy)(x+2)=1
----------------------------------------
Principal Skinner

[Aug 5, 2008 9:26:06 AM]

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