2006 Yamaha Virago XV250

ENGINE
Oil Quantity:
Without oil filter element replacement: 1.40 L (1.48 US qt) (1.23 Imp.qt)
With oil filter element replacement: 1.60 L (1.69 US qt) (1.41 Imp.qt)
Currently using Valvoline 20W50 Motorcycle oil
Note: 1.3 L seems to be the best amount with oil filter element replacement.

Tools

• 9 ½” ratchet
• 11/16 socket (1 ¼” long)
• PH3 Bit

PARTS

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Price Comparisons
Search Date: 8/9/2011

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Part Number: 2UJ-15431-02-00
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Stewart – Calculus – 3.5 – Implicit Differentiation and Derivatives of Inverse Trigonometric Functions

Find $y''$ by implicit differentiation:
$9x^{2}+y^{2}=9$.

$18x+2yy'=0$
$2yy'=-18x$
$y'=-9x/y$

$y''=-9(\frac{y\cdot 1\text{--}x\cdot y'}{y^{2}})$

$y''=-9(\frac{y\cdot 1\text{--}x(-9x/y)}{y^{2}})$
($y'$ is replaced with $-9x/y$)

$y''=-9(\frac{y^{2}+9x^{2}}{y^{3}})$
(after multiplying by $y$ to eliminate denominator from $-9x$)

$y''=-9(\frac{9}{y^{3}})$
(notice that $y^{2}+9x^{2}$ equals the original equation)

So, $y''=\frac{-81}{y^{3}}$.

Derivatives of Inverse Trigonometric Functions

Derivatives of Inverse Trigonometric Functions

Stewart – Calculus – 3.4 – The Chain Rule

Find the derivative: $y=xe^{-\mathit{kx}}$.