d) Y 43/4 +3.X-13 - 2X3/2 dY/dx а) W 3D 5+ 2X — 3X3 dW/dx e) R 67-5S-2 -11s3+10 dR/dS= b) Z -2X6X3-3 = XP/ZP Q 3U2-4U-3 + 5U3 -15 f dQ/du c) Y 3Z12 2Z12 -52-4/5 dY/dz= g) T (3W32)(5W2) dT/dW 3S12(3- 2S + 5S2) dR/dS h) R Differ3.doc September 8, 2017

Algebra and Trigonometry (6th Edition)
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ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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Below are eight functions.  Find the first derivative of each.  Space is provided.  Use good dark ink if you are returning this by a scanned version.  All of the derivatives can be found by using combinations of the constant rule, power function rule and sum-difference rule.  Do not use the product rule.  It is not needed.  The degree of difficulty (more or less) increases from (a-h).  Be sure to show intermediate work.  Check the scoring rubric to see how the points are awarded.  For example, the first derivative of the function:                  is

Although this can be simplified to:

please do not simplify your answer.  I can better diagnose your differentiation difficulties.  This also avoids more algebraic mistakes on your part.  Hint: To make either (g) or (h) easier, multiply the two parts together first, then find the derivative of the resulting product.   This avoids the need to use the product rule.  Good Luck!

a) 

d) Y 43/4 +3.X-13 - 2X3/2
dY/dx
а) W 3D 5+ 2X — 3X3
dW/dx
e) R 67-5S-2 -11s3+10
dR/dS=
b) Z -2X6X3-3
=
XP/ZP
Q 3U2-4U-3 + 5U3 -15
f
dQ/du
c) Y 3Z12 2Z12 -52-4/5
dY/dz=
g) T (3W32)(5W2)
dT/dW
3S12(3- 2S + 5S2)
dR/dS
h) R
Differ3.doc September 8, 2017
Transcribed Image Text:d) Y 43/4 +3.X-13 - 2X3/2 dY/dx а) W 3D 5+ 2X — 3X3 dW/dx e) R 67-5S-2 -11s3+10 dR/dS= b) Z -2X6X3-3 = XP/ZP Q 3U2-4U-3 + 5U3 -15 f dQ/du c) Y 3Z12 2Z12 -52-4/5 dY/dz= g) T (3W32)(5W2) dT/dW 3S12(3- 2S + 5S2) dR/dS h) R Differ3.doc September 8, 2017
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