 Find an equation of the tangent line to the curve at the point (2, 1).

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Presentation transcript:

 Find an equation of the tangent line to the curve at the point (2, 1).

 The position function of a particle is given by   When does the particle reach a velocity of 166 m/s?  t=8seconds

 Determine the equation of the tangent line if y+4=4(x-3) or y=4x-16

 Find the points on the curve where the tangent is horizontal. (1,-6) (-2,21)

If a ball is thrown vertically upward with a velocity of 200 ft/s, then its height after t seconds is What is the maximum height reached by the ball? 1000ft

 Find, if

 Sketch the graph of a continuous function with f(0)=1 and

Using one-sided derivatives, show that the function does have a derivative at x=1.

Determine when the following particle is speeding up.

 Determine the displacement of the particle during the first two seconds. - 4 units It is four units to the left of where it started!!

Sketch the graph of a function where

If an arrow is shot upward on the moon with a velocity of 55m/s, it height in meters after t seconds is given by. Find the average velocity over the interval [1,1.04]

 Find the derivative of.

Write the equation of the normal line to the curve at x=0.

 Find the equation of the tangent line to the graph of at x=0.

 Determine the slope of the normal line to the graph at x=1.

 Find for 