## Posts Tagged ‘differentiate’

### First and Second Derivative of Parametric Equations – Concavity

This video provides an example of how to determine the first and second derivative of a curve given by parametric equations. It also explains how to determine the intervals of t for which the curve is concave up or concave down.

### Determine the Points Where the Tangent Lines are Horizontal or Vertical Using Parametric Equations

This video explains how to determine the points on a parametric curve where the tangent lines are horizontal or vertical.

### Determine the First and Second Derivative Given Parametric Equations

This video provides an example of how to determine the first derivative and second derivative at a given value of t. Then determine the slope of the tangent line and the concavity.

### Ex 3: Equation of a Tangent Line to a Curve Given by Parametric Equations

This video provides an example of how to determine the equation of a tangent line when the curve is given by parametric equations.

### Ex 2: Equation of a Tangent Line to a Curve Given by Parametric Equations

This video provides an example of how to find the derivative of parametric equations and find the equation of the tangent line at a given value of t.

### Ex 1: Equation of a Tangent Line to a Curve Given by Parametric Equations

This video provides an example of how to find the derivative of parametric equations and find the equation of the tangent line at a given value of t.

### Ex: Critical Numbers / Relative Extrema / Second Derivative Test

This video provides an example of how to find relative extrema using the second derivative test.

### Ex: Critical Numbers / Relative Extrema / First Derivative Test

This video provides an example of how to find relative extrema using the first derivative test.

### Ex 1: First and Second Derivatives Using the Chain Rule – f(x)=tan(2x)

This video explains how to find the first and second derivatives and derivative function values.  The results are verified graphically.

### Ex 2: First and Second Derivatives Using the Chain Rule – f(x)=ln(cos(x))

This video explains how to find the first and second derivatives and derivative function values.  The results are verified graphically.