Suppose ƒ(x, t) = xª sin(5t). (a) At any point (x, t), the differential is df = (b) At the point (–2, π/3), the differential is df = (c) At the point (-2, π/3) with dx df = = = 0.3 and dt = -0.5, the differential is

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.
Chapter6: Applications Of The Derivative
Section6.3: Implicit Differentiation
Problem 45E
icon
Related questions
Question
Suppose f(x, t) = xª sin(5t).
4
(a) At any point (x, t), the differential is
df =
(b) At the point (-2, π/3), the differential is
df=
-
=
(c) At the point (−2, π/3) with dx =
df =
0.3 and dt= -0.5, the differential is
Transcribed Image Text:Suppose f(x, t) = xª sin(5t). 4 (a) At any point (x, t), the differential is df = (b) At the point (-2, π/3), the differential is df= - = (c) At the point (−2, π/3) with dx = df = 0.3 and dt= -0.5, the differential is
Expert Solution
steps

Step by step

Solved in 5 steps with 11 images

Blurred answer
Recommended textbooks for you
Calculus For The Life Sciences
Calculus For The Life Sciences
Calculus
ISBN:
9780321964038
Author:
GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:
Pearson Addison Wesley,