Determine all of the first order partial derivatives for the following functions:v=ln⁡(xsin⁡y)+ex+y

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Step 1  Derivative, in mathematics, the rate of change of a function with respect to a variable. Derivatives are fundamental to the solution of problems in calculus and differential equation. In algebra, an equation can be defined as a mathematical statement consisting of an equal symbol between two algebraic expression that have the same value. The most basic and common algebraic equations in math consist of one or more variables.  Step 2  For the first order partial derivative first of all differentiate the equation partially with respect to x, taking the other variable that is y as constant.  ∂v∂x=∂(ln⁡(xsin⁡(y))+ex+y)∂x  =1x+(ex+y×1)  =1x+ex+y  For the first order partial derivative now differentiate the equation partially with respect to y, taking the other variable that is x as constant.  ∂v∂x=∂(ln⁡(xsin⁡(y))+ex+y)∂x  =1x+(ex+y×1)  =1x+ex+y

Find all of the first order partial derivatives for the

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