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Section 14.3 Partial Derivatives
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Shiv Nadar University Course
MAT1003-SNIOE-2025
Chapter 14: Partial Derivatives
Section 14.3 Partial Derivatives
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Completion requirements
Exercise 28
Find the first partial derivatives of the function:
\[ f(x, y) = x^y \]
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Section 14.2: Limits and Continuity
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Section 12.1: Three dimenstional Coordinate Geometry
Section 12.2: Vectors
Section 12.3: Dot Product
Section 12.4: Cross Product
Section 12.5: Lines & Planes
Section 12.6: Cylinders & Quadric Surfaces
Section 13.1: Vector Functions and Space Curves
Section 13.2: Derivatives and Integrals of Vector Functions
Section 13.3: Arc Length & Curvature
Section 14.1: Functions of Several Variables
Section 14.2: Limits and Continuity
Section 14.4: Tangent Planes
Section 14.5 Chain Rule
Section 14.6: Directional Derivatives & Gradient Vector
Section 14.7: Max Min Problems
Section 14.8: Lagrange Multipliers
Section 15.1: Double Integrals over rectangles
Section 15.2: Integration over general 2d regions
Section 15.3: Integration in Polar Coordinates
Section 15.6: Triple Integration
Section 15.7: Triple Integration in Cylindrical Coordinates
Section 15.8: Triple Integration in Spherical Coordinates
Section 15.9: Change of Variables in Multiple Integrals
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Section 14.4: Tangent Planes