ctivity 1. Find the 2nd derivative of the even-numbered functions ar dd-numbered ones: 1. f(x) = (x + 2)* x2+ 2 2. у: 3. h(z) = z6 + 3z5 – 4z4 + z3 + 2z² + 9z + 10 Vx2-3 4. f(x) = 5. x = (2t + 1)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.CR: Chapter 4 Review
Problem 5CR: Determine whether each of the following statements is true or false, and explain why. The chain rule...
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Activity 1. Find the 2nd derivative of the even-numbered functions and the 3rd derivative of the
odd-numbered ones:
1. f(x) = (x + 2)*
%3D
x2+ 2
2. y=Tx
3. h(z) = z6 + 3z5 – 4z4 + z3 + 2z? + 9z + 10
Vx2-3
4. f(x) =
5. x= (2t + 1)
2
6. у 3
(6 + 2x- x2 )4
1
7. g(h) = 4Vh3.
8h2
8. x =
V6t+ t4
9. y = 6x-2 + 7x-3 – x-4
32
1
10. f(x) = Vx2 –
Vx
3Vx5
Activity 2. Find (a) y' by equating the function to y and differentiating it; (b) y' by implicit
differentiation; and (c) y" using either of the solved y'.
1. 8xy + 2x*y3 = x3
2. x2 = y2 - x³ + 2y
(2²+y)?
3. 3x?
4. (x + 2y)? = 4xy + Vx
5. x3 - y3 = 3
Transcribed Image Text:Activity 1. Find the 2nd derivative of the even-numbered functions and the 3rd derivative of the odd-numbered ones: 1. f(x) = (x + 2)* %3D x2+ 2 2. y=Tx 3. h(z) = z6 + 3z5 – 4z4 + z3 + 2z? + 9z + 10 Vx2-3 4. f(x) = 5. x= (2t + 1) 2 6. у 3 (6 + 2x- x2 )4 1 7. g(h) = 4Vh3. 8h2 8. x = V6t+ t4 9. y = 6x-2 + 7x-3 – x-4 32 1 10. f(x) = Vx2 – Vx 3Vx5 Activity 2. Find (a) y' by equating the function to y and differentiating it; (b) y' by implicit differentiation; and (c) y" using either of the solved y'. 1. 8xy + 2x*y3 = x3 2. x2 = y2 - x³ + 2y (2²+y)? 3. 3x? 4. (x + 2y)? = 4xy + Vx 5. x3 - y3 = 3
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