dw Use an appropriate form of the chain rule to find dt In(14x? – 4y + 52³); x = t2, y = tš, z = t-2 Enter the answer in terms of t. dw dt ||
dw Use an appropriate form of the chain rule to find dt In(14x? – 4y + 52³); x = t2, y = tš, z = t-2 Enter the answer in terms of t. dw dt ||
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Related questions
Question
Solve it correctly. Hint is on the second picture.
![dw
Use an appropriate form of the chain rule to find
dt
In(14x2 – 4y + 52³); x = t2, y = tš, z = t-2
Enter the answer in terms of t.
dw
dt
||](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fd181b6cf-a8b3-44bf-be86-e79193bfc89f%2F93642a4d-8597-4acd-ab6e-c25059edfde5%2Fg3sswnl_processed.jpeg&w=3840&q=75)
Transcribed Image Text:dw
Use an appropriate form of the chain rule to find
dt
In(14x2 – 4y + 52³); x = t2, y = tš, z = t-2
Enter the answer in terms of t.
dw
dt
||
![Hint
If x = x(t), y = y(t) and z =
(x, y, z) = (x(t), y(t), z(t)), then w = f(x(t), y(t), z(t)) is differentiable at t and
z(t) are differentiable at t, and if w =
f(x, y, z) is differentiable at the point
dw
dw dx
dwdy
dw dz
dt
дх dt
dy dt
dz dt](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fd181b6cf-a8b3-44bf-be86-e79193bfc89f%2F93642a4d-8597-4acd-ab6e-c25059edfde5%2Frmpz4g_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Hint
If x = x(t), y = y(t) and z =
(x, y, z) = (x(t), y(t), z(t)), then w = f(x(t), y(t), z(t)) is differentiable at t and
z(t) are differentiable at t, and if w =
f(x, y, z) is differentiable at the point
dw
dw dx
dwdy
dw dz
dt
дх dt
dy dt
dz dt
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