Khan Academy
Khan Academy: 2011 Calculus Bc Free Response #3 (B & C)
Volume of a solid of rotation and Chain Rule for rates of change.
Khan Academy
Khan Academy: 2011 Calculus Bc Free Response #1 (B & C)
Position and slope of particle's path at a given time.
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Khan Academy: 2011 Calculus Bc Free Response #1 A
Velocity and acceleration vectors for particle.
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Khan Academy: 2017 Ap Calculus Ab/bc 4 C
Potato problem from 2017 AP exam (Question 4, part c). Finding a particular solution for a separable differential equation.
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Khan Academy: 2017 Ap Calculus Ab/bc 4 B
Potato problem from 2017 AP exam (Question 4, part b). Taking the second derivative using the chain rule to think about concavity.
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Khan Academy: 2017 Ap Calculus Ab/bc 4 A
Potato problem from 2017 AP exam (Question 4). Finding and using the equation of a tangent line to approximate solution to differential equation.
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Khan Academy: 2015 Ap Calculus Bc 2 B
Point on curve where tangent line has a certain slope.
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Khan Academy: 2011 Calculus Bc Free Response #6 D
Lagrange error bound for Taylor Polynomial approximation.
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Khan Academy: 2011 Calculus Bc Free Response #6 C
Calculating the 6th derivative at 0 from the Taylor Series approximation.
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Khan Academy: 2011 Calculus Bc Free Response #6 A
Taylor Series approximation of sin(x).
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Khan Academy: 2nd Order Linear Homogeneous Differential Equations 4
Another example with initial conditions!