Sagetex: Derivatives

Derivatives without the Chain Rule

Problem Type 1: Product Rule

ProductRule1Download file: ProductRule1  (.tex)

Problem Type 2: Quotient Rule

QuotientRule

Download File: QuotientRule  (.tex)

Problem Type 3: Three types of derivatives

DerivNC3

Download: DerivNC3  (.tex)

Problem Type 4: Tangent to a rational function.

DerivNC4

Download:  DerivNC4  (.tex)

Problem Type 5: Use the Product Rule to find the derivative of the product of two polynomials.

DerivNC5

Download File: DerivNC5  (.tex)

Problem Type 6: A quotient where division is preferable to the Quotient Rule.

DerviNC6

Download File  DerivNC6  (.tex)

Derivatives with the Chain Rule

Problem Type 1: Find the derivative of a polynomial to an integral power.

Diff1Download file: Diff1 (.tex)

Problem Type 2: The Derivative of a Composition of Functions

CompFunc

Download file:  CompFunc (.tex)

Problem Type 3: Find the tangent line to a rational function at a particular point.

DerivNC4

Download File: DerivNC4  (.tex)

Problem Type 4: Derivative of a non-natural logarithm

DerivLog

Download file: DerivLog (.tex)

Problem Type 5: Derivative of an exponential

DerivExpon

Download file: DerivExpon (.tex)

Implicit Differentiation

Problem Type 1: Find the slope of the tangent line to an ellipse at a particular point.

ImplicitDiff

Download File: ImplicitDerv  (.tex)

First Derivative Test

FirstDerivTest

Download the File: FirstDerivTest1  (.tex)

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