the sum rule of derivatives 29 videos

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 
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 
The Quotient Rule
Calculus Techniques of Differentiation
How to differentiate a quotient of two functions.
differentiation quotient rule product rule derivatives 
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 
The Product Rule
Calculus Techniques of Differentiation
How to differentiate a product of two functions.
differentiation derivative formula power functions the product rule of derivatives 
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 
Chain Rule: The General Logarithm Rule
Calculus Techniques of Differentiation
How to differentiate a composite function when the outside function is the natural logarithm.
chain rule logarithmic functions properties of logarithms derivative of natural log 
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 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 
Chain Rule: The General Power Rule
Calculus Techniques of Differentiation
How to differentiate a composite function when the outside function is a power function.
chain rule composite functions power functions power rule differentiation 
Chain Rule: The General Exponential Rule
Calculus Techniques of Differentiation
How to differentiate a composite function when the outside function is exponential.
chain rule composite functions composition exponential functions 
The Chain Rule
Calculus Techniques of Differentiation
How to differentiate a composite function.
composite function composition inside function outside function differentiation 
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 
Optimization Using the First Derivative Test
Calculus Applications of the Derivative
How to evaluate the limit of a function as x goes to infinity (or minus infinity), and how to determine the horizontal asymptote of its graph.

Optimization Using the Second Derivative Test
Calculus Applications of the Derivative
How to compute the average velocity of an object moving in one dimension from a graph of its position vs. time.

Definition of Antiderivatives
Calculus Antiderivatives and Differential Equations
How to define an antiderivative.
differentiation antiderivative derivative