47 – Derivatives of Trigonometric Functions No Calculator

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Presentation transcript:

47 – Derivatives of Trigonometric Functions No Calculator Trigonometric Investigations II 47 – Derivatives of Trigonometric Functions No Calculator

Derivatives of Trigonometric Functions

The Basics

Taking Advantage of Identities OPTION 1

Taking Advantage of Identities OPTION 2

Taking Advantage of Identities OPTION 3 ARE ALL THREE ANSWERS THE SAME?

YES… ALWAYS LOOK TO SEE IF AN EXPRESSION CAN BE SIMPLIFIED BEFORE TAKING A DERIVATIVE

The Chain Rule Part I - Argument

Evaluating Trigonometric Derivatives

Find the equation of the tangent line of

Find the equation of the tangent line of

Find the linearization of

Find the linearization of

The Chain Rule Part II – The Trig Function

Nested Functions –

Implicit Differentiation