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
Section4.2: Derivatives Of Products And Quotients
Problem 35E
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tutor 23 answer 3 n 7 pls
Transcribed Image Text:TUTORIAL 23
of e²* = sin(x + 3y).
1. Use implicit differentiation to find
dx
2.
Find for 5 cos (x + y) - 3e = 4x² by using implicit differentiation.
dy
dx
3. Find if y² + 2xy = x² = cos x using implicit differentiation.
dx
dy
by implicit differentiation.
4.
Let y be a function of x. If e- x² + 2y = 1, find
dx
dy
5.
Find
if x²y + sin y = x³ + e + ²x using implicit differentiation.
dx
6. Find
for x³y
= cos e*.
dx
7. Find the derivative of In y +
e³y²
e = sin 2x.
8.
Use implicit differentiation to find
of sin (x² y²) = x.
dy
9. Find if 3xy = (x³ + y²).
dx
dy
10. Find
dx
for xy = In (cos x + sin y) by using implicit differentiation.
dy
11. Find
for y² + 4x In (2y) = ²y + sin² x by using implicit differentiation.
dx
12 Let y be a function of x. If e2x-3y = In ( xy²), find dy
dx by using implicit differe
-ind
for 3 In (x²y) -√√2x + y² = 2 by using implicit differentiation.
14. Find
dx
for xy + 3x² = 2 cos (x + y) - e³y by using implicit differentiation.
dy
dy
dx
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