Find first and second derivative of y=x(x-4)^3

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter4: Calculating The Derivative
Section4.3: The Chain Rule
Problem 6YT
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Find first and second derivative of

y=x(x-4)^3

Expert Solution
Step 1

Given function is 

y=xx-43

To find derivative product rule is used

duvdx=vdudx+udvdx

So the first derivative of given function

y=xx-43dydx=1.x-43+3xx-42       =x-43+3xx-42

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ISBN:
9780321964038
Author:
GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:
Pearson Addison Wesley,