numerical approximation of the derivative 72 videos

Derivatives of Logarithmic Functions
Calculus The Derivative
How to infer the derivative of the natural log function using a calculator investigation.
derivative formula limits derivative the number e numerical approximation of the derivative natural logarithm 
The Derivative Function
Calculus The Derivative
How to define the derivative function f'(x).
derivative limits the derivative function 
Derivatives of Power Functions
Calculus The Derivative
How to determine the derivative of a power function.
power functions derivative derivative formula 
Approximating Area Using Rectangles
Calculus The Definite Integral
How to approximate the area under a curve using rectangles.
approximating area under a curve left hand sums right hand sums limits 
Derivatives of Polynomial Functions
Calculus The Derivative
How to compute the derivative of a polynomial function using two properties of the derivative.
the constant multiple rule the sum rule of derivatives polynomial functions derivative 
Derivatives of Exponential Functions
Calculus The Derivative
How to use the definition of the derivative to find a derivative formula for exponential functions.
limits derivative definition of the derivative difference quotient exponential functions natural logarithm 
Derivatives of Linear Functions
Calculus The Derivative
How to determine the derivative of a linear function.
linear functions derivative slope 
Derivative Notation
Calculus The Derivative
How to recognize and use Newton's and Leibniz's notation for the derivative.
derivative newton form leibniz form differentiation the differential operator 
An Important Limit
Calculus The Derivative
How to interpret the value of a limit important in the derivative of exponential functions.
limits natural logarithm numerical approximation 
Limits: A Numerical Approach
Calculus Limits and Continuity
How to estimate a limit using a table of values.
limits functions table of values numerical approach undefined 
Deccimal Approximations of Square Roots
PreAlgebra Decimals and Percents
Finding decimal approximations of square roots without a calculator

The Definition of the Derivative
Calculus The Derivative
How to define the derivative of a function at a point x=a.
average rate of change slope secant line instantaneous rate of change tangent line limits derivative difference quotient 
Deriving the Quadratic Formula
Algebra 2 Quadratic Equations and Inequalities
How to derive the quadratic formula by completing the square.
functions domain parent functions inequalities interval notation 
Curve Sketching with Derivatives
Calculus Applications of the Derivative
How to evaluate the limit of a function using continuity.

Antidifferentiation
Calculus Antiderivatives and Differential Equations
How to find an antiderivative of a function.
antiderivative derivative 
Economics: Marginal Cost & Revenue
Calculus Applications of the Derivative
How to interpret the derivatives of the cost and revenue functions as marginal cost and marginal revenue.
cost revenue profit marginal cost marginal revenue derivatives of cost and revenue 
Dividing Radicals and Rationalizing the Denominator
Algebra Radical Expressions and Equations
How to rationalize denominators.
denominator numerator rationalizing the denominator conjugates