Finite Math Examples

Evaluate the Function h(x)=x^2+x+2 , (h(3+deltax)-h*3)/(deltax)
,
Step 1
Evaluate the numerator in .
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Step 1.1
Replace the variable with in the expression.
Step 1.2
Replace the function designators in with the actual functions.
Step 1.3
Simplify .
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Step 1.3.1
Remove parentheses.
Step 1.3.2
Simplify each term.
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Step 1.3.2.1
Rewrite as .
Step 1.3.2.2
Expand using the FOIL Method.
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Step 1.3.2.2.1
Apply the distributive property.
Step 1.3.2.2.2
Apply the distributive property.
Step 1.3.2.2.3
Apply the distributive property.
Step 1.3.2.3
Simplify and combine like terms.
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Step 1.3.2.3.1
Simplify each term.
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Step 1.3.2.3.1.1
Multiply by .
Step 1.3.2.3.1.2
Move to the left of .
Step 1.3.2.3.1.3
Multiply by by adding the exponents.
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Step 1.3.2.3.1.3.1
Move .
Step 1.3.2.3.1.3.2
Multiply by .
Step 1.3.2.3.1.4
Multiply by by adding the exponents.
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Step 1.3.2.3.1.4.1
Move .
Step 1.3.2.3.1.4.2
Multiply by .
Step 1.3.2.3.1.5
Multiply by by adding the exponents.
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Step 1.3.2.3.1.5.1
Move .
Step 1.3.2.3.1.5.2
Multiply by .
Step 1.3.2.3.1.6
Multiply by by adding the exponents.
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Step 1.3.2.3.1.6.1
Move .
Step 1.3.2.3.1.6.2
Multiply by .
Step 1.3.2.3.1.7
Multiply by by adding the exponents.
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Step 1.3.2.3.1.7.1
Move .
Step 1.3.2.3.1.7.2
Multiply by .
Step 1.3.2.3.1.8
Multiply .
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Step 1.3.2.3.1.8.1
Raise to the power of .
Step 1.3.2.3.1.8.2
Raise to the power of .
Step 1.3.2.3.1.8.3
Use the power rule to combine exponents.
Step 1.3.2.3.1.8.4
Add and .
Step 1.3.2.3.2
Add and .
Step 1.3.2.4
Apply the distributive property.
Step 1.3.2.5
Multiply by .
Step 1.3.2.6
Apply the distributive property.
Step 1.3.2.7
Simplify.
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Step 1.3.2.7.1
Multiply by .
Step 1.3.2.7.2
Multiply by .
Step 1.3.2.7.3
Multiply by .
Step 1.3.3
Simplify by adding terms.
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Step 1.3.3.1
Add and .
Step 1.3.3.2
Add and .
Step 1.3.3.3
Simplify the expression.
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Step 1.3.3.3.1
Add and .
Step 1.3.3.3.2
Subtract from .
Step 1.3.3.3.3
Move .
Step 1.3.3.3.4
Move .
Step 1.3.3.3.5
Move .
Step 1.3.3.3.6
Move .
Step 1.3.3.3.7
Move .
Step 1.3.3.3.8
Move .
Step 1.3.3.3.9
Reorder and .
Step 1.3.3.3.10
Reorder and .
Step 2
Rewrite .