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| Home > Calculus calculators > Find maximum and minimum value of y calculator
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| Method and examples
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| Derivative
| Method
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1. Find Derivative
| y =
| Order of derivative
| Also evaluate at x =
| Simplify Before and after derivative
| - `2x^3-2x^2-5x+4`
- `log(x)`
- `exp(3x)`
- `sin^3(x)`
- `2log(x)+3e^x+4tan^2(x)-5sec^2(x)`
- `log(x)e^x`
- `sec^2(x)-tan^2(x)`
- `(x^2+1)/(x^2-1)`
- `x^2*sin(x)/log(x)`
- `asin(x)`
- `acos(x)`
- `atan(x)`
- `acot(x)`
-
`acsc(x)`
- `asec(x)`
- `sqrt(x)`
- `3^x`
- `3^(2tan^2(x)) tan(x)`
- `2sin(tan^2(x))*3cos(x)-3cos(sin(x))+4`
- `2sin^3(x+tan^2(x))`
- `3cos(sin(x))`
- `e^(-2x)`
- `sqrt(sin(x))`
- `x^2*3^x*sin(x)`
- `e^(x^2)`
- `log^2(x)`
- `sin(x^2)`
- `log(log(log(x)))`
- `sin(e^x)`
- `sin(3^x)`
- `log(sin(x^2))`
- `e^(tan(x^2))sin^2(x)`
- `sin(cos(sin(e^x+1)))`
- `sin(log(cos(e^x+x^2)))`
- `3^x*e^(log(x))`
- `sqrt(x^2+1)`
- `2sin^3(1+tan^2(x))-3cos(sin(x))+4`
- `asin(3x-4x^3)`
- `atan((sqrt(1-x^2)-1)/x)`
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2. Find maximum and minimum value of y
| y =
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| - `x^3+6x^2-15x+7`
- `x^3-9x^2+24x+2`
- `4x^3+19x^2-14x+3`
- `3x^2+12x-15`
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| SolutionHelpInput functions
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- 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.