the product rule of derivatives 28 videos

The Product Rule
Calculus Techniques of Differentiation
How to differentiate a product of two functions.
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The Quotient Rule
Calculus Techniques of Differentiation
How to differentiate a quotient of two functions.
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Derivatives of Polynomial Functions
Calculus The Derivative
How to compute the derivative of a polynomial function using two properties of the derivative.
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The Derivative Function
Calculus The Derivative
How to define the derivative function f'(x).
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Derivatives of Power Functions
Calculus The Derivative
How to determine the derivative of a power function.
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Derivatives of Exponential Functions
Calculus The Derivative
How to use the definition of the derivative to find a derivative formula for exponential functions.
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Derivatives of Linear Functions
Calculus The Derivative
How to determine the derivative of a linear function.
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Derivative Notation
Calculus The Derivative
How to recognize and use Newton's and Leibniz's notation for the derivative.
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Chain Rule: The General Logarithm Rule
Calculus Techniques of Differentiation
How to differentiate a composite function when the outside function is the natural logarithm.
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Derivatives of Logarithmic Functions
Calculus The Derivative
How to infer the derivative of the natural log function using a calculator investigation.
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The Definition of the Derivative
Calculus The Derivative
How to define the derivative of a function at a point x=a.
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Chain Rule: The General Power Rule
Calculus Techniques of Differentiation
How to differentiate a composite function when the outside function is a power function.
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Chain Rule: The General Exponential Rule
Calculus Techniques of Differentiation
How to differentiate a composite function when the outside function is exponential.
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The Chain Rule
Calculus Techniques of Differentiation
How to differentiate a composite function.
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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.
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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.
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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.
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