Question
Asked Jul 17, 2019

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
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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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check_circleExpert Solution
Step 1

Since we are entitled to answer up to 3 sub-parts, we’ll answer the first 3 as you have not mentioned the subparts you need help with. Please resubmit the question and specify the other subparts you’d like to get answered.

Step 2

Given information:

The given function is shown below:

 

a)
W 5+2X-3x3
b)
Z=-2X63-3
c)
Y 3z1 2+2-1/2_5Z-4/5
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a) W 5+2X-3x3 b) Z=-2X63-3 c) Y 3z1 2+2-1/2_5Z-4/5

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Step 3

Calculation:

a)

Differentiate the given function W w...

dW
d
.5+2
Х-3
dX
dX
sх р
d
constan t 0 and
0+2-3.3x3-1
n-1
dx
=2-9x2
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dW d .5+2 Х-3 dX dX sх р d constan t 0 and 0+2-3.3x3-1 n-1 dx =2-9x2

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