dy for y = 2x In(3x)+ sec'(x* +1) dx 9. Find dy by implicit differentiation, given the implicit equation e = 6y' +4. dx 10. Find

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)
6th Edition
ISBN:9781337111348
Author:Bruce Crauder, Benny Evans, Alan Noell
Publisher:Bruce Crauder, Benny Evans, Alan Noell
Chapter2: Graphical And Tabular Analysis
Section2.1: Tables And Trends
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dy
for y = 2x In(3.x)+ sec¯'(x* +1)
dx
9. Find
dy
by implicit differentiation, given the implicit equation e = 6y³ +4.
10. Find
dx
11. Find the equation of the tangent line to the graph of the function y = sin
at x = 8.
12. Find the second derivative f"(x) of f(x)= 4xe*
13. Use Logarithmic Differentiation to find the derivative dy / dx for f(x)= x*
(x² +1)*{2x+1
V3x² +4
15. Sand falls from an overhead bin and accumulates in a conical pile with a radius that is
always two times its height. Suppose the height of the pile increases at a rate of 3 cm/s when
the pile is 17 cm high. At what rate is the sand leaving the bin at that instant?
14. Use Logarithmic Differentiation to find the derivative dy / dx for y =
Transcribed Image Text:dy for y = 2x In(3.x)+ sec¯'(x* +1) dx 9. Find dy by implicit differentiation, given the implicit equation e = 6y³ +4. 10. Find dx 11. Find the equation of the tangent line to the graph of the function y = sin at x = 8. 12. Find the second derivative f"(x) of f(x)= 4xe* 13. Use Logarithmic Differentiation to find the derivative dy / dx for f(x)= x* (x² +1)*{2x+1 V3x² +4 15. Sand falls from an overhead bin and accumulates in a conical pile with a radius that is always two times its height. Suppose the height of the pile increases at a rate of 3 cm/s when the pile is 17 cm high. At what rate is the sand leaving the bin at that instant? 14. Use Logarithmic Differentiation to find the derivative dy / dx for y =
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