Submissions - Partial Derivatives

Recent Submissions

User	Score	Submitted
bencejdanko Incorrect Questions (6) What is the notation for the partial derivative of $f$ with respect to $x$ ? Your response: $f \cdot x$ Given $f(x, y) = 3x^2y + 5y^3$ , find $\frac{\partial f}{\partial x}$ . Your response: $3x^2 + 15y^2$ Given $f(x, y) = 3x^2y + 5y^3$ , find $\frac{\partial f}{\partial y}$ . Your response: $6xy + 15y^2$ Compute the partial derivative $\frac{\partial}{\partial x}(x e^y)$ . Your response: $e^x$ If $f(x, y) = x^2 y^3$ , what is the mixed partial derivative $f_{xy}$ (also written $\frac{\partial^2 f}{\partial y \partial x}$ )? Your response: $2x + 3y^2$ The vector composed of all first-order partial derivatives of a scalar function is called the: Your response: Hessian	1 / 7 (14%)	1/24/2026, 12:57:44 AM