Calculus Examples

Find the Derivative - d/dt d/(dt)(at^2+bt+c)
Step 1
By the Sum Rule, the derivative of with respect to is .
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
Move to the left of .
Step 3
Evaluate .
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Step 3.1
Since is constant with respect to , the derivative of with respect to is .
Step 3.2
Differentiate using the Power Rule which states that is where .
Step 3.3
Multiply by .
Step 4
Since is constant with respect to , the derivative of with respect to is .
Step 5
Simplify.
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Step 5.1
Add and .
Step 5.2
Reorder terms.