Calculus Examples

Find the Linearization at a=π/6 f(x)=sin(x) , a=pi/6
,
Step 1
Consider the function used to find the linearization at .
Step 2
Substitute the value of into the linearization function.
Step 3
Evaluate .
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Step 3.1
Replace the variable with in the expression.
Step 3.2
Simplify .
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Step 3.2.1
Remove parentheses.
Step 3.2.2
The exact value of is .
Step 4
Find the derivative and evaluate it at .
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Step 4.1
The derivative of with respect to is .
Step 4.2
Replace the variable with in the expression.
Step 4.3
The exact value of is .
Step 5
Substitute the components into the linearization function in order to find the linearization at .
Step 6
Simplify each term.
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Step 6.1
Apply the distributive property.
Step 6.2
Combine and .
Step 6.3
Multiply .
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Step 6.3.1
Multiply by .
Step 6.3.2
Multiply by .
Step 7