Differentiation ??

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Differentiation??

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???????BASIC CONCEPT OF DIFFERENTIATION

• 4-1, 4-2

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p ?? V ?? n ??? T ?? R ?????? (R8.314 J K-1
mole-1)
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???(T)????(p)????(n)???,??(V)????
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???(p)??,??(T)????(n)???,??(V)????
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Example 4.1

• The general quadratic function , y ax2bxc
• Find Dx/Dy

Exercise 4-1
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? Q ? P ?
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Exercise
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Example 4.1

• The general quadratic function , y ax2bxc
• Find

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Exercise
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Exercise
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• f (x) ????f(x)???(derivative)

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???CONTINUITY

• 4-3

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???LIMITS

• 4-4

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Example 4.3 limits
Exercise
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Exercise
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Example 4.4 limits
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Exercise
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Example 4.5 limits
Exercise
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???????DIFFERENTIATION FROM FIRST PRINCIPLE

• 4-5

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Example 4.6
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Exercise
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Exercise
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Example 4.7
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Exercise
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Example 4.7
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Exrcise