3 7. Find the second partial derivatives for f(x,y)=2x2y + 5y-3x'y 8. Find the total differential for z=-3ycosx+4x3y2 9. Let w-xy* - y, x-In t, y-cos t. Use Chain Rule to find dw/dt when t=0. 10. Find dy/dx implicitly for y5- y4 +3y+x3-6=0. 11. Find a directional derivative for f(x,y)-2+ x2 y2 at (-2,3) in the direction 6 of u cosi sinj 6 12. Find the gradient for f(x,y)=x2y-x In y at (4,1).

# 3 7. Find the second partial derivatives for f(x,y)=2x2y + 5y-3x'y 8. Find the total differential for z=-3ycosx+4x3y2 9. Let w-xy* - y, x-In t, y-cos t. Use Chain Rule to find dw/dt when t=0. 10. Find dy/dx implicitly for y5- y4 +3y+x3-6=0. 11. Find a directional derivative for f(x,y)-2+ x2 y2 at (-2,3) in the direction 6 of u cosi sinj 6 12. Find the gradient for f(x,y)=x2y-x In y at (4,1).

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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