Derivatives of Inverse Trig Functions

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Presentation transcript:

Derivatives of Inverse Trig Functions Sec. 3.8

Derivative of the Arcsine Arcsine is the inverse of sine (sin-1)

Applying the Formula

Derivative of the Arctangent Arctangent is the inverse of tangent (tan-1)

A Moving Particle A particle moves along the x-axis so that its position at any time t ≥ 0 is What is the velocity of the particle when t = 16?

Derivative of the Arcsecant Arcsecant is the inverse of secant (sec-1)

Using the Formula

Derivatives for the Other Three

Homework P. 170-171 #1-27 odd, 35-40 all