0
y = - 6x2 - 12x - 1 A second degree equation graphs as a parabola, and has only one max or min. At that point, the first derivative y' = 0. dy/dx = - 12x - 12 = 0 - x - 1 = 0 ==> x = - 1 At that point, y = - 6( 1 ) - 12( - 1 ) - 1 = - 6 + 12 - 1 = 5. The max value of the function is 5, and occurs when x = -1.
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At the maximum point the value of the second derivative of a function is?
At the maximum point of a function, the value of the second derivative is less than or equal to zero. Specifically, if the second derivative is negative, it indicates that the function is concave down at that point, confirming a local maximum. If the second derivative equals zero, further analysis is needed to determine the nature of the critical point, as it may be an inflection point or a higher-order maximum.
Why the second derivative negative for Maxima?
When you solve for the 2nd derivative, you are determining whether the function is concave up/down. If you calculated that the 2nd derivative is negative, the function is concave down, which means you have a relative/absolute maximum, given that the 1st derivative equals 0. To understand why this is, think about the definition of the 2nd derivative. It is a measure of the rate of change of the gradient. At a maximum, the gradient starts positive, becomes 0 at the maximum itself and then becomes negative, so it is decreasing. If the gradient is going down, then its rate of change, the 2nd derivative, must be negative.
Is y equals 2x-5 a function?
7
What is the inverse function of fx equals 5x-24?
29
Does the equation y equals 2x plus 1 represent a function?
The [ 2x + 1 ] represents a function of 'y' .
At the maximum point the value of the second derivative of a function is?
At the maximum point of a function, the value of the second derivative is less than or equal to zero. Specifically, if the second derivative is negative, it indicates that the function is concave down at that point, confirming a local maximum. If the second derivative equals zero, further analysis is needed to determine the nature of the critical point, as it may be an inflection point or a higher-order maximum.
What is the maximum function value of f(x)-(x-3)2?
The question is not clear. A function is defined by an equation and that requires an equals sign. there is no equals sign in the question. It is therefore impossible to give a proper answer to your question. Please resubmit your question spelling out the symbols as "plus", "minus", "times", "divided by", "equals".
What are the minimum and maximum values for the objective function C equals 3x plus y?
The answer will depend on the ranges for x and y. If the ranges are not restricted, then C can have any value.
147 equals mb in s?
147 equals Maximum Break in Snooker.
How can you determine if a function crosses its end behavior asymptote and where?
To determine if a function crosses its end behavior asymptote, analyze the function's behavior as ( x ) approaches positive or negative infinity. If the function's value approaches the asymptote but is not equal to it, it does not cross; however, if you find a point where the function's value equals the asymptote, it indicates a crossing. You can identify this by solving the equation of the asymptote for ( x ) and checking if the function equals that value at those ( x ) points. Graphically, plotting the function alongside the asymptote can also reveal any crossings visually.
Is xy equals 4 a function?
yes. it is a function
Relation is a function y equals -8?
determine whether each relation is a function y equals -8
What is formula for calculate maximum current?
volts divided by resistance equals maximum amperage (current)
Can a function be defined as x equals a but not have a limit at x equals a?
exactly...
Is y equals 2x2 a function?
no
What is the condition for maximum velocity?
The condition for maximum velocity is acceleration equals zero; dv/dt = a= o.
What is the maximum and minimum of y equals 3sinx?
+3 and -3
