Linear Algebra Examples

Find the Derivative - d/dx f(x)=x^2-2x-3
Step 1
Differentiate.
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Step 1.1
By the Sum Rule, the derivative of with respect to is .
Step 1.2
Differentiate using the Power Rule which states that is where .
Step 2
Evaluate .
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Step 2.1
Since is constant with respect to , the derivative of with respect to is .
Step 2.2
Differentiate using the Power Rule which states that is where .
Step 2.3
Multiply by .
Step 3
Differentiate using the Constant Rule.
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Step 3.1
Since is constant with respect to , the derivative of with respect to is .
Step 3.2
Add and .