MTH 141 Midterm: Math 141 Exam2

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turquoisegnu128

31 Jan 2019

School

University at Buffalo

Department

Mathematics

Course

MTH 141

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All

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Math 141- Midterm Exam #2 - October 24, 2007

1. (50 points) Find dy

dx . You do not need to simplify your answers.

a. y=xcos(x)

b. y= tan(x2+ 1)

c. y=√x

x3+1

d. y= ln(5x−15)

e. y= 3x

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f. y=x10

−9x3+ 15x−3

g. y= sin3(x2)

h. y= (sin x)x.

i. y=r(x2+1)5exx9

x2+2

j. sin(xy) = 5x

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Document Summary

Math 141- midterm exam #2 - october 24, 2007: (50 points) find dy dx. You do not need to simplify your answers: y = x cos(x, y = tan(x2 + 1, y = X x3+1: y = ln(5x 15, y = 3x, y = x10. 9x3 + 15x 3: y = sin3(x2, y = (sin x)x, y = r (x. 9: sin(xy) = 5x, (10 points) find the equation of the tangent line to the curve at the point (3, 2). 2x xy2 = 6: (10 points) find the linear approximation to the function f (x) = x3/4 at x=16. Then use this linear approximation to estimate 153/4: (5 points) evaluate this limit by rst expressing it as a derivative: 4 16 + h 2 h lim h 0: (10 points) let r(x) = f (g(h(x))), where h(1) = 2, h (2) = 1, g(2) = 3, h (1) = 4, g (2) = 5, and f (3) = 6.

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Please I need quick help these questions they are due so soon. Thanks