Let f and g be differentiable functions and h(x) = f(g(x)). If f(0) = 4, f ' (0) = 3, g(0) = 1, g ' (0) = 2, h(0) = 1, and h ' (0) = 6, find f(1) and f ' (1). The Chain Rule for Derivatives: In ca...
【题目】Let f() and g() be differentiablefunctions such that the following values aretrue.f(x)g(x)f'(x) g'(x) 4178-23-534622-19-1Ifp(x)=(g(x))/(f(x)),wha i the value of p'(4) ?What does this value say about the graph of p()when =4? Give a reason for youranswer...
Let f and g be differentiable functions with the following properties:(i) g(x)>0 for all x(ii) f(0)=1If h(x)=f(x)g(x) and h'(x)=f(x)g'(x), then f(x)= ( ) A. f'(x) B. g(x) C. e^x D. 0 E. 1 相关知识点: 试题来源: 解析 E 反馈 收藏 ...
Let f and g be differentiable functions on (a,b).Suppose there is a point x0 in (a,b) with f (x0) = g(x0) and f (x) 相关知识点: 试题来源: 解析 设F(x)=g(x) - f(x). 因为在区间(a,b)上有f (x)<=g(x).所以在区间(a,b)上有F(x)>=0. 又已知存在a 极点处导数为...
Let {eq}f(x,y) {/eq} be a differentiable function. Among all unit vectors {eq}\vec{u} {/eq}, the quantity {eq}D_{\vec{u}}f(a,b) {/eq} is minimized when {eq}\vec{u} {/eq} is equal to (i) {eq}-\nabla f(a,b) {/eq} ...
Let f(x) and g(x) be differentiable functions such that the following values are true.If p(x)=(g(x))(f(x)), what is the value of p'(4)? What does this value say about the graph of p(x) when x=4? Give a reason for your answer....
Let f and g be functions that are differentiable for all real numbers x and that have the following properties.(i) f'(x)=f(x)-g(x)(ii) g'(x)=g(x)-f(x)(iii f(0)=5(iv) g(0)=1Prove that f(x)+g(x)=6 for all x....
[translate] aBest speed 最佳的速度 [translate] a当我们老师进来的时候 正在翻译,请等待... [translate] aLet f where fl are continuously differentiable functions of t; and let t be a point at which 让f, fl连续是t的可微函数; 并且让t 是的点 [translate] ...
题目【题目】Let f and g be functions that are differentiable for all real numbers 2 and that have the following properties.(i) f'(x)=f(x)-g(x)(ii) g'(x)=g(x)-f(x)(if(0)=5iv)g0)=1Prove that f(z)+g(x)=6 for all x. 相关知识点: ...
结果1 题目【题目】Let f(z) and g(z) be differentiable functions such that the following values are true.If_q(x)=2x^2((f(x))/(g(x)))dx , wha sthe alue of )? 相关知识点: 试题来源: 解析 【解析】q'(2)=-72 反馈 收藏 ...