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RELATED RATES: Water level in the tank
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Classroom Contents
Applications of Derivatives - Optimization, Graph Sketching, Linear Approximation, Related Rates, and Physics Applications
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- 1 Linear approximation
- 2 ESTIMATE THE ROOT with linear approximation (KristaKingMath)
- 3 Linearization of a function at a point (KristaKingMath)
- 4 Optimization - Calculus (KristaKingMath)
- 5 How to find CRITICAL POINTS (KristaKingMath)
- 6 Where is the function INCREASING AND DECREASING?! (KristaKingMath)
- 7 INFLECTION POINTS and CONCAVITY (KristaKingMath)
- 8 FIRST DERIVATIVE TEST to find the max and min (KristaKingMath)
- 9 How to use the SECOND DERIVATIVE TEST (KristaKingMath)
- 10 How to find VERTICAL ASYMPTOTES!! (KristaKingMath)
- 11 How to find HORIZONTAL ASYMPTOTES (KristaKingMath)
- 12 How to find SLANT ASYMPTOTES (KristaKingMath)
- 13 All about GRAPH SKETCHING!! (KristaKingMath)
- 14 Maxima and minima on a CLOSED interval (KristaKingMath)
- 15 Dimensions that maximize the area of the rectangle (KristaKingMath)
- 16 OPTIMIZATION: Dimensions that maximize the volume of a cylinder
- 17 OPTIMIZATION: Dimensions of a rectangle that minimize its perimeter
- 18 OPTIMIZATION: Dimensions that maximize the volume of a box
- 19 Dimensions of the rectangle with largest area inscribed in an equilateral triangle (KristaKingMath)
- 20 Largest area of a rectangle inscribed in a semicircle (KristaKingMath)
- 21 Points on the cone closest to a point (KristaKingMath)
- 22 Max volume of a rectangular box inscribed in a sphere (KristaKingMath)
- 23 Maximum volume of a cone shaped cup (KristaKingMath)
- 24 Largest possible volume of a cylinder inscribed in a sphere (KristaKingMath)
- 25 Dimensions that minimize the surface area of a cylinder (KristaKingMath)
- 26 OPTIMIZATION: Dimensions that minimize page size with a given printed area
- 27 OPTIMIZATION: Dimensions that minimize the surface area of an open top box
- 28 OPEN-TOP BOX?!! How to find the smallest possible surface area
- 29 OPTIMIZATION: Point on the line closest to another point
- 30 Minimizing the product of two real numbers
- 31 Finding numbers with the smallest sum of squares
- 32 OPTIMIZATION: Production level, sale price that maximize profit
- 33 OPTIMIZATION: Sales level that maximizes revenue
- 34 OPTIMIZATION: Time when velocity is minimum
- 35 Related Rates (KristaKingMath)
- 36 RELATED RATES: Radius of the balloon
- 37 RELATED RATES: Ladder sliding down the wall
- 38 RELATED RATES: Distance between the person and the plane (KristaKingMath)
- 39 RELATED RATES: Water level in the tank
- 40 RELATED RATES: Price of the product
- 41 MEAN VALUE THEOREM (MVT) for derivatives (KristaKingMath)
- 42 How to use ROLLE'S THEOREM (KristaKingMath)
- 43 How to use NEWTON'S METHOD (KristaKingMath)
- 44 How to use L'HOSPITAL'S RULE (KristaKingMath)
- 45 POSITION FUNCTION (KristaKingMath)
- 46 All about a PARTICLE'S POSITION function (KristaKingMath)
- 47 Instantaneous velocity (KristaKingMath)
- 48 HOW HIGH CAN YOU THROW THE BALL?!! How fast is it going when it hits the ground?
- 49 Dropping a coin from the roof (VERTICAL MOTION!) (KristaKingMath)
- 50 How to find MARGINAL COST, REVENUE AND PROFIT (KristaKingMath)
