Question

partial derivative of 1+e^x/y

Answer 1

Step-by-step explanation:

Let f(x,y) be a function with two variables. If we keep y constant and differentiate f (assuming f is differentiable) with respect to the variable x, using the rules and formulas of differentiation, we obtain what is called the partial derivative of f with respect to x which is denoted by

partial derivative with respect to x

Similarly If we keep x constant and differentiate f (assuming f is differentiable) with respect to the variable y, we obtain what is called the partial derivative of f with respect to y which is denoted by

partial derivative with respect to y

We might also use the limits to define partial derivatives of function f as follows: