What are the extrema of #f(x) = e^(-x^2)# on #[-.5, a] #, where #a > 1 #? On the graph below there are three turning points labeled a, b and c: What are the local extrema, if any, of #f (x) = x^3-12x+2 #? The graph of #y=ax^2+bx# has an extremum at #(1,-2)#. A turning point is a type of stationary point (see below). Find the absolute maximum and absolute minimum values of The first and the second derivative of a function can be used to obtain a lot of information about the behavior of that function. What are the global and local extrema of #f(x)=x^3-3x+6# ? The fall of Constantinople in the hands of the Ottoman Turks in itself isn’t a surprise. How do you find the extrema for #f(x) = sec x# on the closed interval #[-pi/6, pi/3]#? So a minimum or maximum point that's not an endpoint, it's definitely going to be a critical point. What are the local extrema of #f(x) = x^3 - 3x^2 - 9x +1#? How do you find the relative extrema of the function #f (x)=x^4+4x^3+4x^2#? The Turning Point USA leader apparently thinks the number of counties a candidate wins matters more than the number of votes. What are the local extrema, if any, of #f(x)= –2x^3 + 6x^2 + 18x –18#? What are the local extrema of #f(x)= xlnx-xe^x#? How do you find the global extreme values for # y=x^2-6x-1# on [-2,2]? #? How do you find the local extrema for #f(x)=-0.12x^3 + 900x - 830#? How do you find the local extrema for #y=sqrtx/(x-5)#? How do you find the local extremas for #f(x)=xe^x#? What are the extrema of #f(x)=-sinx-cosx# on the interval #[0,2pi]#? Given the function #y=2-x^2#, how do you determine the relative maximum or the relative minimum? How do you find the local extrema for #y=4x^3 + 7#? What are the extrema of #f(x)=x^2 - 6x + 11 # on #x in[1,6]#? 4. How do you find the local extrema of a function? How do you find the relative extrema of the function #f (x) = x^3 + 6 x^2#? What are the local extrema of #f(x)= 4^x# if they exist? How do you find the maximum of #f(x) = 2sin(x^2)#? How do you find all relative extrema of the function #f(x)= -x^3 -6x^2-9x-2#? A maximum is a high point and a minimum is a low point: In a smoothly changing function a maximum or minimum is always where the function flattens out (except for a saddle point). What is the minimum value of #f(x)=3x^2-6x+12#? 1315 N 160th Street Shoreline, WA 98133 office@turningpointseattle.org 206.402.6960. How do you find the coordinates of the local extrema of the function? Find the values of a and b? How do you find the local extrema for #f(x) = 2x^3 - x^2 - 4x +3#? The coordinates of the turning point and the equation of the line of symmetry can be found by writing the quadratic expression in completed square form. How do you find the local extremas for #f(x)=x^(1/3)(x+8)#? Maxima and minima are points where a function reaches a highest or lowest value, respectively. How do use the first derivative test to determine the local extrema #F(x) = -2x^3 - 9x^2 + 24x + 40#? Given #f(x) = -2(x+2)(x-1)^2# on the open interval (-3,3). What are the extrema and saddle points of #f(x,y) = 2x^3 + xy^2 + 5x^2 + y^2#? What is the derivative of #y = ln(cscx)#? How do use the first derivative test to determine the local extrema # f(x) = 3x^4-8x^3-90x^2+50#? What are the local extrema of #f(x)=x^2/lnx#? How do you find the local extrema for #f(x) = 2-2x^2# on domain #-1 <= x <= 1#? Interpreting the Sign of the First Derivative (Increasing and Decreasing Functions), Identifying Stationary Points (Critical Points) for a Function, Identifying Turning Points (Local Extrema) for a Function, Classifying Critical Points and Extreme Values for a Function, Mean Value Theorem for Continuous Functions. -X^2+8X+7 # -1,1 ] + 12 # on the interval [ -2,2 ] 4x^2-2x+x/ ( )... And solve interval # [ -oo, oo ] # this depends the... 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