Skill Quiz 5 on Differentiation

Check your work

to check your work:

1)  Open Help in Mathematica (upper right of toolbar).

2)  Click Getting Started/Demos and continue selecting inside this as follows
	Demos
		Notebook Demos
			Step-by-step Differentiation (it's way down the list)
			
Run the first example in there and say "yes" to "Evaluate Initialization?"  This loads the WalkD[y,x] function so it's ready to use to check your work.

1

y = Sin[ (x^3)]

Solution

NOTE: Read the instructions above under "Check your work" before entering the WalkD[.,.] commands below.

\(Clear[x, y]; 
y = Sin[\ x\^3]; \)

WalkD[y, x]

\(Print[" y= ", y]; 

    Print[\*""\!\(\[DifferentialD]y\/\[DifferentialD]x\)= "", D[y, x]]; 
    \)

(dy/dx) =

2

y = (x^3) Cos[x]

Solution

NOTE: Read the instructions above under "Check your work" before entering the WalkD[.,.] commands below.

\(Clear[x, y]; 
y = x\^3\ Cos[x]; \)

WalkD[y, x]

\(Print[" y= ", y]; 

    Print[\*""\!\(\[DifferentialD]y\/\[DifferentialD]x\)= "", D[y, x]]; 
    \)

(dy/dx) =

3

y = ((x^3)  +  (e^x)) (Log[x] + 1)

\(
\)

Solution

NOTE: Read the instructions above under "Check your work" before entering the WalkD[.,.] commands below.

\(Clear[x, y]; 

    y = \((x\^3\  + \ E\^x)\) \((Log[x] + 1)\)\)

WalkD[y, x]

\(Print[" y= ", y]; 

    Print[\*""\!\(\[DifferentialD]y\/\[DifferentialD]x\)= "", D[y, x]]; 
    \)

(dy/dx) =

4

y  =  Cos[(x^2)] Sin[(e^x)]

\(
\)

Solution

NOTE: Read the instructions above under "Check your work" before entering the WalkD[.,.] commands below.

\(Clear[x, y]; 
y\  = \ Cos[x\^2] Sin[E\^x]; \)

WalkD[y, x]

\(Print[" y= ", x]; 

    Print[\*""\!\(\[DifferentialD]y\/\[DifferentialD]x\)= "", D[y, x]]; 
    \)

(dy/dx) =