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Derivatives of Trig Functions

Derivatives of Trig Functions. 3.5. Derivative of Sine and Cosine. The derivative of sin(x) = cos (x) The derivative of cos (x) = -sin(x). Derivatives of Other Trig Functions. Use the quotient rule to find the derivative of tan x, cot x, sec x, csc x. Derivative Chart. Harmonic Motion.

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Derivatives of Trig Functions

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  1. Derivatives of Trig Functions 3.5

  2. Derivative of Sine and Cosine The derivative of sin(x) = cos(x) The derivative of cos(x) = -sin(x)

  3. Derivatives of Other Trig Functions Use the quotient rule to find the derivative of tan x, cot x, sec x, csc x

  4. Derivative Chart

  5. Harmonic Motion A weight is attached to a spring. It’s motion is modeled by the function s(t) = 5sin(x). Find its velocity and acceleration functions.

  6. Compound Derivative Rules • Find the derivative of:

  7. Example Find the derivative:

  8. Homework Pg146 #1-10, 13, 15, 21, 22, 29

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