Function of several variables 

Here you will find problems and solutions related to Multivariate Calculas.

📌 Necessary & sufficient condition for limit.

Ans:

📌Sufficient condition for differentiability.

📌 Euler's Theorem 

📌 General form of Eular's equation 

📌 Euler's Theorem for 3 variables 

(Q) Let z be a differentiable function of x & y and let x=rcosθ , y=rsinθ. Prove that (∂z/∂r)² + 1/r²(∂z/∂θ)² = (∂z/∂x)² + (∂z/∂y)²

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