Practice Quiz 2b

# Practice Quiz 2b - Practice Test 2B for Math 1501 (I) Let f...

This preview shows page 1. Sign up to view the full content.

This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: Practice Test 2B for Math 1501 (I) Let f be the function deﬁned by f (x) = 1+ √ x for x = 0 (a) Find the equation for the tangent line to the graph of y = f (x) at the point (9, 2). (b) Find the intersection of this tangent line with the x axis. (II) Consider the curve given by x4 + y 4 = 1 . (Note the fourth powers; this is not the unit circle.) (a) Find the points where the line y = 21/4 x crosses this curve. (b) Find the equation for the tangent line to the curve at each of the points found in part (a). (III) Let f ( x) = A x3 + 1 , x ≥ 1 Bx + 2, x < 1 . (a) For what values of A and B is f diﬀerentiable for all x? (b) With these values of A and B , what is the equation of the tangent line to f at x = 1? (IV) A ladder 5 meters long is leaning against a wall. If the foot of the ladder is pulled away from the wall at a rate of 1 meter per second, how fast will the top of the ladder be falling at the instant when the base is 3 meters from the wall? (V) (a) Given a function f with f (2) = 2 and f (2) = 3. Compute d f (f (x)) dx at x = 2. (b) Compute the derivative of (c) Compute the derivative of (cos(x)) (d) Compute the derivative of arcsin(ln(x)) . sin(x) x2 tan(x2 ) , , for − π/2 < x < π/2 ...
View Full Document

## This note was uploaded on 02/07/2011 for the course MATH 1501 taught by Professor N/a during the Fall '08 term at Georgia Institute of Technology.

Ask a homework question - tutors are online