ALevel数学中Differentiation关键考点

　　Differentiation对于国内考生来说是非常陌生的考点，它是ALevel数学学习过程中的重难点，为了帮助大家更好的复习ALevel数学，今天为大家总结ALevel数学中Differentiation关键考点，一起来学习一下吧！

　　Differentiation

　　微分

　　For an increasing function f(x) in the interval (a, b), f’(x) > 0 in the interval a ≤ x ≤ b

　　For a decreasing function f(x) in the interval (a, b), f’(x) < 0 in the interval a ≤ x ≤ b

　　The points where f(x) stops increasing and begins to decrease are called maximum points

　　The points where f(x) stops decreasing and begins to increase are called minimum points

　　A point of inflection is a point where the gradient is at a maximum or minimum value in the neighbourhood of the point

　　A stationary point is a point of zero gradient. It may be a maximum, a minimum or a point of inflection

　　To find the coordinates of a stationary point:

　　Find  (The gradient function)

　　Solve the equation f’(x) = 0 to find the value, or values, of x

　　Substitute into y = f(x) to find the corresponding values of y

　　The stationary value of a function is the value of y at the stationary point. You can sometimes use this to find the range of a function

　　You may determine the nature of a stationary point by using the second derivative

　　In problems where you need to find the maximum or minimum value of a variable y, first establish a formula for y in terms of x, then differentiate and put the derived function equal to zero to then find x and then y

　　以上就是小编为大家分享的ALevel数学中Differentiation，希望大家能够好好复习，提高备考能力，并且小编建议大家要重视真题训练，这样才能顺利通过考试，如果还想了解更多alevel报名官网、alevel网上报名的信息，可以在线咨询我们或添加客服微信kewo11！