Application of Derivatives (Curve Tracing)

On this video I will show you how the first and second derivatives are used as a tool in tracing the graph of a function.

at 18:48 f is decreasing

Videos on Differential Calculus
APPLICATIONS OF DERIVATIVES
Differentials and Approximation of Errors :    • Applications of Derivatives  (Differential...  
Tangent Line and Normal Line :    • Applications of Derivatives (Tangent Line ...  
Curve Tracing :    • Application of Derivatives (Curve Tracing)  
Maxima, Minima and Point of Inflection :    • Applications of Derivatives (Maxima, Minim...  
Solving Maxima and Minima Problems :    • Applications of Derivatives in Solving Max...  
Solving Time-Rates Problems :    • Application of Derivatives - Solving Relat...  
Velocity, Acceleration and Rectilinear Motion :    • Applications of Derivatives (Velocity, Acc...  

DERIVATIVES OF TRANSCENDENTAL FUNCTIONS
Derivatives of Hyperbolic Functions :    • Derivatives of Hyperbolic Functions  
Derivatives of Logarithmic Functions :    • Derivatives of Logarithmic Functions  
Derivatives of Inverse Trigonometric Functions :    • Derivatives of Inverse Trigonometric Funct...  
Derivatives of Some Trigonometric Functions by Implicit Differentiation :    • Derivatives of Some Trigonometric Function...  
Higher Order Derivatives of Some Trigonometric Functions :    • Higher Order Derivatives of Some Trigonome...  
Techniques on Differentiating Powers of Trigonometric Functions :    • Techniques on Differentiating Powers of Tr...  
Derivatives of Trigonometric Functions :    • Derivatives of Trigonometric Functions  

DERIVATIVES OF ALGEBRAIC FUNCTIONS
Implicit Differentiation of Algebraic Functions :    • Implicit Differentiation of Algebraic Func...  
Higher - Order Derivatives of Algebraic Functions :    • Higher - Order Derivatives of Algebraic Fu...  
Derivatives of Algebraic Functions:    • Derivatives of Algebraic Functions  
Derivatives as a Slope of a Line Tangent to the Given Curve (Definition of Derivatives) :    • Derivatives as a Slope of a Line Tangent t...  

FUNCTIONS, LIMITS AND CONTINUITY
Part 3 :    • Functions, Limits and Continuity PART 3  
Part 2 :    • Functions, Limits and Continuity PART 2  
Part 1 :    • Functions, Limits and Continuity PART 1