Find the maximum and minimum values of the function calculator

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Home > Calculus calculators > Find maximum and minimum value of y calculator

Method and examples
Derivative
Method  

1. Find Derivative
y =
Order of derivative
Also evaluate at x =
Simplify Before and after derivative
 

  1. `2x^3-2x^2-5x+4`
  2. `log(x)`
  3. `exp(3x)`
  4. `sin^3(x)`
  5. `2log(x)+3e^x+4tan^2(x)-5sec^2(x)`
  6. `log(x)e^x`
  7. `sec^2(x)-tan^2(x)`
  8. `(x^2+1)/(x^2-1)`
  9. `x^2*sin(x)/log(x)`
  10. `asin(x)`
  11. `acos(x)`
  12. `atan(x)`
  13. `acot(x)`
  14. `acsc(x)`
  15. `asec(x)`
  16. `sqrt(x)`
  17. `3^x`
  18. `3^(2tan^2(x)) tan(x)`
  19. `2sin(tan^2(x))*3cos(x)-3cos(sin(x))+4`
  20. `2sin^3(x+tan^2(x))`
  21. `3cos(sin(x))`
  22. `e^(-2x)`
  23. `sqrt(sin(x))`
  24. `x^2*3^x*sin(x)`
  25. `e^(x^2)`
  26. `log^2(x)`
  27. `sin(x^2)`
  28. `log(log(log(x)))`
  29. `sin(e^x)`
  30. `sin(3^x)`
  31. `log(sin(x^2))`
  32. `e^(tan(x^2))sin^2(x)`
  33. `sin(cos(sin(e^x+1)))`
  34. `sin(log(cos(e^x+x^2)))`
  35. `3^x*e^(log(x))`
  36. `sqrt(x^2+1)`
  37. `2sin^3(1+tan^2(x))-3cos(sin(x))+4`
  38. `asin(3x-4x^3)`
  39. `atan((sqrt(1-x^2)-1)/x)`


2. Find maximum and minimum value of y
y =
 
 

  1. `x^3+6x^2-15x+7`
  2. `x^3-9x^2+24x+2`
  3. `4x^3+19x^2-14x+3`
  4. `3x^2+12x-15`



SolutionHelpInput functions

 



Find the maximum and minimum values of the function calculator
Find the maximum and minimum values of the function calculator
Find the maximum and minimum values of the function calculator
Find the maximum and minimum values of the function calculator
Find the maximum and minimum values of the function calculator
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Find the maximum and minimum values of the function calculator

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Examples

  • extreme\:points\:f(x)=\sqrt{x+3}
  • extreme\:points\:y=\frac{x^2+x+1}{x}
  • extreme\:points\:f(x)=x^3
  • extreme\:points\:f(x)=\ln (x-5)
  • extreme\:points\:f(x)=\frac{1}{x^2}
  • extreme\:points\:y=\frac{x}{x^2-6x+8}

calculus-function-extreme-points-calculator

en

How do you find the maximum or minimum value of a function?

Here, the maximum value f(x) at x = 1 is called the absolute maximum value, global maximum or greatest value of the function f on the closed interval [0, 1]. Similarly, the minimum value of f(x) at x = 0 is called the absolute minimum value, global minimum or least value of the function f on the closed interval [0, 1].

How do you find the maximum on a calculator?

How to calculate a maximum of a function? The maximums of a function are detected when the derivative becomes null and changes its sign (passing through 0 from the positive side to the negative side). Example: Calculate the maximum of the function f(x)=−x2+1 f ( x ) = − x 2 + 1 .

How do you find the maximum and minimum of a function on a graphing calculator?

Press 2nd, then CALC (above the TRACE key). Choose 4: maximum or 3: minimum. The calculator will ask you for a left bound, a right bound, and a guess for the maximum or minimum. You can enter these by using your left and right arrows to move the cursor to a reasonable x-value, then pressing ENTER.

How do you find minimum value of a function?

You can find this minimum value by graphing the function or by using one of the two equations. If you have the equation in the form of y = ax^2 + bx + c, then you can find the minimum value using the equation min = c - b^2/4a.