let h be a differentiable function,and let f be the function

guoxialong0072022-10-04 11:39:543条回答

let h be a differentiable function,and let f be the function defined by f(x)=h(x2-3).
Which of the following is equal to f'(2)?
a.h'(1) b.4h'(2) c.4h'(2) d.h'(4) e.4h'(4)

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doctor_river 共回答了19个问题 | 采纳率89.5%: 应该是4h'(1)
f'(x)=h'(x2-3)*(x2-3)'=2x*h'(x2-3)
带入x=2即可; 1年前

冬日晨雨共回答了15个问题 | 采纳率: a; 1年前

beggar_k 共回答了35个问题 | 采纳率: f(x)=h(x^2-3)
f'(x)=h'(x^2-3)*(2x-3)
x=2
f'(2)=h'(1)
a.h'(1); 1年前

高分求解数学问题啊（99＋）关于differentiable and continuous的 高分求解数学问题啊（99＋）关于differentiable and continuous的 Define h(x)=x^3sin(1/x) for x not equal to 0 and h(0)=0.Show that h is differentiable everywhere and that h' is continuous everywhere but fails to have a derivative at one point. 烟雨霖霖1年前0: 共回答了个问题 | 采纳率

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the function f is twice differentiable,and the graph of f ha the function f is twice differentiable,and the graph of f has no points of inflection.if f(6)=3, f'(6)=-1/2,and f''(6)=-2,which of the following could be the value of f(7)? a.2 b.2.5 c.2.9 d.3 e.4 有没有合理的解释? 飘扬161年前1: 我不是牛人共回答了22个问题 | 采纳率81.8%

f'(6)=-1/2=>f(7)
f'(6+dx)

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数学导数的定义的疑问Def: We say f is differentiable at c if lim f(c+h 数学导数的定义的疑问 Def: We say f is differentiable at c if lim f(c+h) - f(c)/ exists. h->0 h 但是一些函数像y = x的绝对值在x = 0 的时候是不可导的,要怎么证明啊? 总装被dd者1年前1: lyly12 共回答了16个问题 | 采纳率93.8%

将y = x的绝对值分成分段函数去考虑即可,即;x大于等于0时,y=x,x小于0时y=-x
然后用Def:We say f is differentiable at c if lim f(c+h) - f(c)/ h exists.
h->0 ,得到x大于等于0,在x=0处导数为1,而在 x小于0此时导数为-1,因为左导数与右导数不相等,所以此时在x为0时不可导.

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AP微积分题If f is differentiable and difference quotients overes AP微积分题 If f is differentiable and difference quotients overestimate the slope of f at x=a for all h>0,which must be true?A f'(a)>0 B f'(a)0 D f''(a) ll客客1年前1: peterzhao518 共回答了20个问题 | 采纳率95%

题目是说：函数f可微.在x=a处,用差商对这一点的斜率进行估计,对任意的区间长度h,差商所得的结果均大于这一点的斜率.下列说法正确的是.
换句话说,对任意的b>a,都有[f(b)-f(a)]/(b-a)>f'(a).
这是凸函数（即下凸函数）的性质.
即函数在x=a处是下凸的,一定有f''(a)>0.
ABD都是错的.你的C选项没有写清楚.但知道是凸函数,应该容易判断.

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Assume f is a differentiable function whose graph passes thr Assume f is a differentiable function whose graph passes through the point (1,4).If g(x) = f(x^2) and the tangent line to the graph of f at (1,4) is y=3x+1,determine g'(x)? 心如ll灰1231年前1: LOVE吻共回答了14个问题 | 采纳率92.9%

依题目所示,f(x)过点（1,4）且在点（1,4）处的切线为y=3x+1,
因此有f'(x)=3x+1,两边进行积分得到
f(x)=1.5x^2+x+C
由于f(x)过点(1,4),将x=1,y=4代入上式,得C=1.5
故f(x)=1.5x^2+x+1.5
g(x)=f(x^2)=1.5（x^2）^2+x^2+1.5=1.5x^4+x^2+1.5
g'(x)=6x^3+2x

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suppose that f is a continuously differentiable function and suppose that f is a continuously differentiable function and f(x/3)=f(x)/3 for all x in R a) show that f(0)=0 b) show that f ' is constant and in fact for all x,f ' (x)=f(1) 秋天雾蒙蒙1年前2: 桅鹭共回答了24个问题 | 采纳率95.8%

a) 取x=0即可
b) 求导得f'(x)=f'(x/3),所以f'(x)=f'(x/3)=...=f'(x/3^n),由导函数的连续性得f'(x)=f'(0)
再由中值定理f(1)=f(1)-f(0)=f'(xi)=f(x)

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let h be a differentiable function,and let f be the function

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