# How to find the Critical Value? The Critical Value is a term widely used in statistics, and it is a point where a function is not differentiable. For every algebraic function the domain and range of every but at a certain point.

It becomes impossible to differentiate a function by a simple procedure. A critical value makes it easy to find the critical value of any algebraic function. The term critical value is simply related to a value where you would not able to find the gradient of the graph.

It means the gradient or the slope is undefined at a certain point. The critical value of the multidimensional function is the value where the derivative is equal to zero. To find the derivative of the function at the critical value is impossible. The online critical number calculator can compute the critical number of a single and multidimensional function. Just use the z critical value calculator to find the derivative of a multidimensional algebraic function in steps.

Here discussing how you can find the critical value in steps:

## Critical value in Steps:

Consider an example to explain how you can find the critical value in steps. This explains the methodology of how to find the critical value.

Consider a function 4x2+ 8xy+ 2y, and you are going to find the critical value of the function. You would find the critical value of the multidimensional functions 4x2+ 8xy+ 2y.

Just use the critical value calculator and extract various function critical values.

Remember there are two functions x and y involved in the function 4x2+ 8xy+ 2y. The t value calculator automatically reconciles whether the function is a multifunction or a single variable function.

The critical values are essential to finding the range of an algebraic function.

The derivation computation of the function to extract the values of the function.

## Step 1:

You need to find the derivative with respect to “x” and “y” of the function 4x2+ 8xy+ 2y. finding any difficulty to compute just use the online critical value calculator.

## Derivative with respect to “x”

Let the derivative with respect to “x” is:

F(x)=4x2+ 8xy+ 2y

Now apply the power rules and the x goes to the “1”

/x = 8x+ 8y(1) y+0

/x = 8x+8y+0

/x = 8x+8y

Compute the derivative with respect to “x” by the  4x2+ 8xy+ 2y Critical Value Calculator.

## Derivative with respect to “y”:

Let solve the derivative with respect to “y” is:

F(y)=4x2+ 8xy+ 2y

Now apply power rules Where the y goes to the “1”

/y = 0+ 8x(1)+ 2(1)

/y =  8x(1)+ 2(1)

/y = 8x+ 2

The critical value calculator can be used to find the derivative with respect to the “y”.

## Step 2:

For the critical value, you need to enter the values of derivative f'(x,y) = 0 to zero.

Now:

/x =0

8x+8y=0———–(1)

/y =0

8x+ 2=0———–(2)

For finding the critical value, you are comparing the derivative with respect to the “x” and “y” with the zero.

## Step 3:

You need to Compute the values of “x” or “y” from one equation and substitute the values in the second equation:

consider the equation:

8x+ 2=0

Then

x = -2/8 or x=-1/4

x=-1/4

the x=-¼ in the equation (1), to find the value of “y”

8x+8y=0———–(1)

8(-¼)+8y=0

Then

-2+8y=0

y=2/8=1/4

y =¼

It is handy to use the Critical Value Calculator to compute the derivative of a multidimensional algebraic function in steps.

## Step 4:

Now when we enter the Critical Value (-1/4, ¼), the equation (1) and (2) will be uncomputable. These are the Critical values where we can’t find the gradient or slope of the function 4x2+ 8xy+ 2y.

## Conclusion:

The critical values are the type of values where the gradient or the derivative of an algebraic function is impossible to compute. The critical z-value calculator makes it possible to identify the range of functions and the maximum and minimum values of an algebraic function.