General Contents

Index

Home

Power Rule, Higher Order Derivative, Implicit Higher Order Derivative, nth Derivative, Product Rule , Chain Rule , Quotient Rule , Absolute Value , Implicit , Implicit Higher Order , Implicit: Equation of Tangent Line , Logarithmic Differentiation

Contents: Differentiation

Power


Simple power Derivative by the power rule
Constant * power
Sum of powers
Sum of C * powers
Fractional power > 1
Fractional power 0<p<1
Negative power
Negative fractional power
Sum of two radicals:

General Contents

Index

Home

Higher Order Derivative


Second der: multinomial F'' forSecond derivative
Second der: Quartic:
Second der: Product of simple linear factors:
Second der: Product of general linear factors:
Second der: Product:
Second der: Quotient:
Second der: Radical:
Second derivative: Implicit:

 

nth Derivative


36th Derivative of Sine sine, find nth derivative

nth Derivative of Negative Power reciprocal, find nth derivative

nth Derivative of nth Power nth power, find nth derivative

nth Derivative of Radical Linear radical, find nth derivative

General Contents

Index

Home


Product


Product of linear factors Differentiation of a product
Power * linear
Polynomial * polynomial  
Plus and minus powers  
Constant over a power  
x times a radical of a power  
Product of 2 radicals of a powers:  
   
   
   

General Contents

Index

Home


Chain Rule


Linear raised to a power: Differentiation with the chain rule
Quantity raised to a positive power  
Quantity raised to a negative power  
Derivative of a product of powers of linear factors:
 Derivative of a product of powers, one negative:
Derivative of a product of powers, both negative:
Linear plus reciprocal to a fractional power: Find for
Explicit chain rule: 2 quadratics: Find for ,
Explicit chain rule: quadratic and a linear: Find for ,
Explicit chain rule: quadratic and radicals: Find for ,
Explicit chain rule: cubic and reciprocal: Find for ,
Chain Rule: Root of a quadratic: Find for
Chain Rule: Product of quadratic, root of quadratic: for
 

General Contents

Index

Home

;

Quotient

Derivative of a quotient of linear factors Derivative by the quotient rule
Derivative of a quotient of linear to a quadratic:
Derivative of a quotient of quadratic to a linear:
 
Derivative of the (ratio of linears) to a power:
 
Derivative of the quotient of quadratics
Derivative of a cubic over a quadratic
Derivative of x over a radical of a power:
Derivative of the quotient of 2 radicals of powers:
 

General Contents

Index

Home


Absolute Value


Derivative of Abs(Linear) Derivative of absolute value of a linear
Derivative of Abs(Quadratic) Derivative of absolute value of a quadratic

General Contents

Index

Home


Implicit


Implicit differentiation: Implicit differentiation
Implicit differentiation:
Implicit differentiation:
Implicit Differentiation: Product of x and y: .
Implicit Differentiation: Power of y and the product of x and y: .
Implicit Differentiation: Radicals: .
Implicit Differentiation: Multinomial: .
Implicit Differentiation: Quotient: .
Implicit Differentiation: Radicals: .
Implicit Differentiation: sin and cos: .
Implicit Differentiation: xy and tan:
Implicit Differentiation: :

Implicit Differentiation: Second derivative:

Implicit Differentiation: Function Notation: functional notation equation


Implicit: Equations of Tangent & Normal Lines


Circle: equation of circle
Ellipse: equation of ellipse
Hyperbola: equation of hyperbola
Parabola: equation of parabola

General Contents

Index

Home


Logarithmic Differentiation


Product of power and radical: Logarithmic differentiation of a power times a radical problem
Ratio of radicals: Logarithmic differentiation of the radical of the ratio of linears example
Powers over a radical: Logarithmic differentiation of a power over a radical solution
Fractional power, cosine, radical: Logarithmic differentiation of a fractioal power, cosine, and radical example



















General Contents

Index

Home