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y = -6x2 - 12x - 1
We recognize this as the equation of a parabola opening downward, but we don't need to know that in order to answer the question.
At the extremes of a function (local max or min), the first derivative of the function = zero.
The first derivative of the given function with respect to 'x' is dy/dx = -12x -12
Set -12x - 12 = 0.
-x - 1 = 0
x = -1
y = -6x2 - 12x - 1 = -6(1) - 12(-1) - 1 = -6 + 12 - 1 = 5
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How do you find minimum and maximum value of calculus?
In Calculus, to find the maximum and minimum value, you first take the derivative of the function then find the zeroes or the roots of it. Once you have the roots, you can just simply plug in the x value to the original function where y is the maximum or minimum value. To know if its a maximum or minimum value, simply do your number line to check. the x and y are now your max/min points/ coordinates.
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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".
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The function y equals sin θ is not a function beacause sin 30 equals sin 150?
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How do you find minimum and maximum value of calculus?
In Calculus, to find the maximum and minimum value, you first take the derivative of the function then find the zeroes or the roots of it. Once you have the roots, you can just simply plug in the x value to the original function where y is the maximum or minimum value. To know if its a maximum or minimum value, simply do your number line to check. the x and y are now your max/min points/ coordinates.
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8
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The unit step function at t=0 is defined to have a value of 1.
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An argmax is a mathematical term for the argument of the maximum - the set of points of a given argument for which a given function attains its maximum value.
Define maximam and minima of a function?
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The absolute value of a function changes the original function by ensuring that any negative y values will in essence be positive. For instance, the function y = absolute value (x) will yield the value +1 when x equals -1. Graphically, this function will look like a "V".
