WebCan you find a minimum value of f (x) = x^2? f (x) = x^2 … (1) df (x)/dx = 2x = 0 x = 0 … (2) Put this value equation (2) back into equation (1): f (0) = 0^2 = 0 So the point (0, 0) is a local extrema (meaning, it can be a minimum, maximum or inflection point) Now differentiate df (x)/dx again: d^2f (x)/dx^2 = 2 > 0 WebNov 28, 2024 · To get the maximum value, put x = 2 in the given function: f ( x) = x 2 e − x. f ( x) = ( 2) 2 e − 2. f ( x) = 0.5413. f ( x) = 4 e 2. (b) To find the exact value of x at which the given function increases rapidly, take the derivative of the first derivative with respect to x on both sides again. f ′ ( x) = 2 x e − x − x 2 e − x.
How to Find the Maximum and Minimum Values of a Function
WebThe maximum value of f f is. In general, local maxima and minima of a function f f are studied by looking for input values a a where f' (a) = 0 f ′(a) = 0. This is because as long as the function is continuous and differentiable, the tangent line at peaks and valleys will flatten out, in that it will have a slope of 0 0. WebFree Minimum Calculator - find the Minimum of a data set step-by-step puppy eating grass weeds
Find the Maximum/Minimum Value f(x)=x^2e^(-x) Mathway
WebMath Calculus Calculus questions and answers Consider the function below. f (x) = x2e−x (a) Find the exact value of the minimum of f for x ≥ 0. f (x) = Find the exact value of the … WebMar 23, 2024 · If we take the second derivative or f''(x), then we can find out whether this point will be a maximum or minimum. If the second derivative is positive, it will be a … WebAlgebra Find the Maximum/Minimum Value f (x)=x^2e^ (-x) f(x) = x2e - x Find the first derivative of the function. Tap for more steps... - x2e - x + 2xe - x Find the second … secretary credit union