To advertise with us contact on Whatsapp: +923041280395 For guest post email at: [email protected]

Partial Derivative Calculator

Partial Derivative Calculator

Definition:

Partial derivatives are defined as derivatives of multiple variables when they are fixed during the differentiation, except for the variable of interest. 

Let f(x, y) be a two-variable function. If we maintain and differentiate f in relation to the variable x (assuming that f is differentiable), using the rules and formulas for differentiation, we get what is called the’ f’ partial derivative for x that is denoted by

partial derivative calculator

Similar to this we can obtain the so-called partial “f” derivative, which is indicated by Y if we keep x constant and differentiate f with regard to variable y.

Partial Derivative Calculator 1

Examples:

Problem 1:

Find fx and fy partial derivatives if f(x, y) is specified as:

partial derivative calculator 1

Solution:

Suppose that ‘ y ‘ is constant in order to obtain x:

partial derivative calculator 2

Now assume x is constant and differentiate with respect to y to obtain:

partial derivative calculator 3

Problem 2:

Find fx and fy if f(x , y) is given by

partial derivative calculator 4

Solution:

Differentiate with respect to x assuming y is constant:

partial derivative calculator 5

Differentiate with respect to y assuming x is constant

partial derivative calculator 4

Leave a Reply

Your email address will not be published.