Calculus Examples

Find the Derivative - d/dt (at^2+bt+c)
Step 1
By the Sum Rule, the derivative of with respect to is .
Step 2
Since is constant with respect to , the derivative of with respect to is .
Step 3
Differentiate using the Power Rule which states that is where .
Step 4
Move to the left of .
Step 5
Since is constant with respect to , the derivative of with respect to is .
Step 6
Differentiate using the Power Rule which states that is where .
Step 7
Multiply by .
Step 8
Since is constant with respect to , the derivative of with respect to is .
Step 9
Simplify the expression.
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Step 9.1
Add and .
Step 9.2
Reorder terms.