If f and g are twice differentiable functions of a single variable, show that the functionu(x,t)=f(x+at)+g(x-at)is a solution of the wave equation given in Exercise. 相关知识点: 试题来源: 解析 Let v=x+at, w=x-at. Then w=x-at and u_(tt)= (∂ [af'(v)-ag'(w)]...
故答案在a,b,c中 the graph of f has no points of inflection并且f''(6)=-2 => f'(6+dx)<f'(x)那么f(7)<f(6)+(7-6)f'(6)=3-0.5=2.5 故只有a是有可能的值
Let h be a twice differentiable function, and let h(-4)=-3, h′(−4)=0 and h''(-4)=0. What occurs in the graph of h at the point (-4,-3) . A、 (-4,3) is a minimum point B、(-4,-3) is a maximum point C、There’s not enough information to tell D、 (-4,-
We prove that for every separately twice differentiable solution $f$ of the\nPDE $f"_{xx}=f"_{yy}$ is of the form $f(x,y)=\\phi(x+y)+\\psi(x-y)$ for some\ntwice differentiable functions $\\phi, \\psi$.doi:10.14321/realanalexch.38.1.0133Taras Banakh...
Answer to: (1) Prove that the function f(x) = |x|^3 is twice differentiable (i.e f' and f'''exist for every real x). (2) Is f'' differentiable at...
结果1 题目 Use the Product Rule twice to prove that if f, g, and h are differentiable functions of x, then(dx)[f(x)g(x)h(x)]=f'(x)g(x)h(x)+f(x)g'(x)h(x)+f(x)g(x)h'(x). 相关知识点: 试题来源: 解析 f(x)=3x^2-2b-1 反馈 收藏 ...
Let f(x) be a twice-differentiable function and f(0)=2. The evaluate: (lim)x→02f(x)−3f(2x)+f(4x)x2 View Solution " Let "_(f(x)" be a twice differentiable function and "f''(0)=5*" If "lim_(x rarr0)(3f(x)-4f(3x)+f(9x))/(x^(2))=m," then "_(m-115)" ...
A simple computation (see Appendix C for details) shows that the objective function in the last problem is strictly increasing for any twice-differentiable utility function with \(u''(\cdot )<0\). Hence, in normative terms risk-averse participants should report the corner solution \(\hat{p}...
Through this data driven approach, our algorithm sequentially and asymptotically achieves the performance of the optimal twice differentiable regression function for any data sequence with an unknown and arbitrary length. The computational complexity of the introduced algorithm is only logarithmic in the ...
LetZ\sim qandw: (a, b) \rightarrow {\mathbb {R}}^+_0be two times differentiable. Let\tau _qbe the Stein kernel ofqand suppose that\tau _q/wis bounded on (a,b),s\in L^1(q),sis strictly decreasing and continuous, and{\mathbb {E}}[s(Z)]=0. Let\left\{ x_i, i\in I...