∂ · Partial DerivativesNo. 1
Find ∇f at (1, 1) for f(x, y) = 4x³ + 2xy.
∂
Daily Calculus — Topic Room
Partial Derivatives
∂/∂x, gradients, Laplacians, mixed
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Sunday, August 23, 2026
Problems
∂ · Partial DerivativesNo. 2
For f(x, y) = e^(4x)·sin(y), find the mixed partial ∂²f/∂x∂y.
∂ · Partial DerivativesNo. 3
Find ∇f at (1, 1) for f(x, y) = 4x³ + 2xy.
∂ · Partial DerivativesNo. 4
Compute the Laplacian ∇²f for f(x, y) = 3x² − 5y²
∂ · Partial DerivativesNo. 5
For f(x, y) = e^(4x)·sin(y), find the mixed partial ∂²f/∂x∂y.
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