Using Properties of the Derivative In Exercises 39 and 40, use the properties of the derivative to find the following. d d (a) r'(t) (b) [3r(t) – u(t)] (c) (5t)u(t) dt dt d d (d) [r(t) · u(t)] d (e) [r(t) × u(t)] (f) r(2t) dt dt dt 39. r(t) = ti + 3tj + t?k,_u(t) = 4ti + t²j + t°k

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 37E
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Using Properties of the Derivative In Exercises 39 and
40, use the properties of the derivative to find the following.
d
d
(a) r'(t)
(b)
[3r(t) – u(t)]
(c)
(5t)u(t)
dt
dt
d
d
(d) [r(t) · u(t)]
d
(e)
[r(t) × u(t)]
(f)
r(2t)
dt
dt
dt
39. r(t) = ti + 3tj + t?k,_u(t) = 4ti + t²j + t°k
Transcribed Image Text:Using Properties of the Derivative In Exercises 39 and 40, use the properties of the derivative to find the following. d d (a) r'(t) (b) [3r(t) – u(t)] (c) (5t)u(t) dt dt d d (d) [r(t) · u(t)] d (e) [r(t) × u(t)] (f) r(2t) dt dt dt 39. r(t) = ti + 3tj + t?k,_u(t) = 4ti + t²j + t°k
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ISBN:
9780321964038
Author:
GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:
Pearson Addison Wesley,