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Unformatted text preview: j f ( x ) & L j < " . Using this denition, prove that lim x ! 2 ( & 4 x + 2) = & 6 3. Let y = p x + 2 (a) (3 points) Use the denition of the derivative to nd dy dx for the function y = p x + 2 . 1 (b) (3 points) Find the equation of the line tangent to the curve y = p x + 2 at the point x = 7 . 4. Find the derivatives of the following functions. Do not simplify. (a) (3 points) f ( x ) = cos(sin( x 2 + x + 2)) (b) (3 points) f ( x ) = (2 x +4) 2 x sec( x 2 ) 5. (6 points) A ball is dropped from a tower that is 128 feet high. It&s position at time t is given by the equation s = 128 & 2 t 2 . What is the velocity of the ball when it hits the ground? 2...
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- Spring '09