Local Maxima and Minima is the method to find the extreme function of a given function. Learn more about the first and second derivative test at BYJU'S.
critical value临界点 ▶️Closed Interval闭区间,Extrem Value Theorem最值定理 ▶️local minimum,relative minimum局部最小,global minimum,absolute minimum绝对最小,maximum最大 ▶️intercept截距,symmetry对称,origin原点 ▶
根据图像,我们可以知道对应的 f'(x)>0, 所以,在R上递增 (F)Local Maximum and Minimum Values, 局部最大值,最小值 虽然f'(0) = 0, 但是, 没有改变符号,所以 没有最大值和最小值 (G)Concavity and Points of Inflection, 凹度 和 拐点 通过结果,我们可以知道,x=0 和 x= +-根号3 可以使得 f'...
11、直线Lobachevski geometry :罗巴切夫斯基几何 Local extremum :局部极值Local maximum and minimum :局部极大值与极小值 Logarithm :对数Logarithmic function :对数函数linear :线性逼近法Maximum and minimum values :极大与极小值 Mean Value Theorem :均值定理Multiple integrals :重积分Multiplier :乘子Natural expo...
4. Rolle’s theorem: if f is continuous and f(a)=f(b), then there is at least a number c so that f’(c)=0 5. Critical values and local extrema: f’(x)=0, f”(x)>0 local minimum, f”(x)<0 local maximum 6. Concavity and points of inflection: f”(x)>0, concave up;...
An important application of differential calculus is graphing a curve given itsequationy=f(x). This involves, in particular, finding local maximum and minimum points on thegraph, as well as changes in inflection (convex to concave, or vice versa). When examining a function used in amathematica...
3.1Maximumandminimumvalues DefinitionAfunctionfhasanabsolutemaxiumu(orglobalmaximum)atciffcf(x)forallxinD,whereDisthedomainoff.Thenumberoff(c)iscalledthemaximumvalueoffonD.Similarly,fhasanabsoluteminimumatciff(c)f(x)forallxinDandthenumberf(c)iscalledtheminmumvalueoffonD.Themaximumand...
ap-2002-calculus-bc-free-response-questions-form-b
a critical point of a function is a local maximum or local minimum. If f'(x) =; 0 and the second derivative is positive at this point, then the point is a local minimum. If f'(x) =; 0 and the second derivative is negative at this point, then the point is a local maximum. ...
长度Levelcurve:等高线L'Hospital'srule:洛必达法则Limacon:蚶线Limit:极限Linearapproximation:线性近似Linearequation:线性方程式Linearfunction:线性函数Linearity:线性Linearization:线性化Lineintheplane:平面上之直线Lineinspace:空间之直线Lobachevskigeometry:罗巴切夫斯基几何Localextremum:局部极值Localmaximumandminimum:局部极...