Answer all parts of the question (3a, b, c) Compute the first-order partial derivatives of the function.z = sinh (4x y)(Use symbolic notation and fractions where needed.)dzdxdzдуCompute the first-order partial derivatives of the function.8xw =(x² + y2 + z?)2(Use symbolic notation and fractions where needed.)dwdwдудиdzLet f (x, y) = ex-3y). Find the equation for the tangent plane to the graph of f at the point (1, 2).(Use symbolic notation and fractions where needed.)

Answered: Compute the first-order partial…

Compute the first-order partial derivatives of the function. z = sinh (4x° y) (Use symbolic notation and fractions where needed.) dz dx

Calculus: Early Transcendentals

8th Edition

ISBN:9781285741550

Author:James Stewart

Publisher:James Stewart

Chapter1: Functions And Models

Section: Chapter Questions

Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...

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Question

Answer all parts of the question (3a, b, c)

Compute the first-order partial derivatives of the function.
z = sinh (4x y)
(Use symbolic notation and fractions where needed.)
dz
dx
dz
ду
Compute the first-order partial derivatives of the function.
8x
w =
(x² + y2 + z?)2
(Use symbolic notation and fractions where needed.)
dw
dw
ду
ди
dz
Let f (x, y) = ex-3y). Find the equation for the tangent plane to the graph of f at the point (1, 2).
(Use symbolic notation and fractions where needed.)

Expert Solution

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since you have posted multiple question which are not interlinked so i have solved first question as per our company guidelines. Kindly post remaining question in next question.

$Z = \sin h (4 x^{5} y)$

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