We extend those results to nondifferentiable regularisers on uniformly convex and uniformly smooth Banach spaces. This gives a (more) complete answer to the question when there is a representer theorem. We then note that for regularised interpolation in fact the solution is determined by the ...
where f is differentiable, and x=g(t),y=h(t),g(6)=2,h(6)=3,g′(6)=5,h′(6)=8,fx(2,3)=2,fy(2,3)=7, find dzdt when t=6. Differentiation by Chain Rule:The given function is a function of two variables....
Write down a function that is continuous at x = 1, but not differentiable at x = 1. When is a function semi differentiable? How do you find if a function is continuous and differentiable? Let f : [ a , b ] ? R . If f is continuous on [a, b] and differentiable on (a, b)...
The function y=a(1- cos x) is maximum when x is- 02:03 Let f(x)=x^(3) +6x^(2) + px +2 , if the largest possible interval in ... 01:43 In -4 lt x lt 4 , the function f(x)= int(-10)^(x) (t^(4)-4)e^(-4t) dt... 04:14 If a(1),a(2),a(3),a(4...
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The individual's utility function u(w), is increasing as a function of wealth, w, and differentiable, so that u′(w)>0. The individual knows his own utility function. Note that in Assumption 1, no restriction is placed on the second derivative u″(w), which may have either sign; we...
A function is () if the function −is concave (strictly concave). For twice-differentiable functions there are simple criteria for checking these properties: A twice-differentiable function is concave (strictly concave, convex, strictly convex) if and only if its second derivative is nonpositive...
Consider the function f(x) = x^2 if x less than 1, f(x) = 2x - 1 if x greater than or equal to 1. Is f differentiable at x = 1? Explain your answer. Solve: (x - 4) + 5 greater than or equal to 10. Solve: 2...
is differentiable and x=g(t),g(3)=9,g′(3)=9,fx(9,−8)=8y=h(t),h(3)=−8,h′(3)=−4,fy(9,−8)=−7 find dzdt, when t=3Chain Rule for Parametric FunctionsThe Chain Rule for Differentiation evaluates ...
Let f(x)=sin(π[x−π])1+[x2] where [] denotes the greatest integer function then f(x) is Acontinuous at integer points Bcontinuous everywhere Cdifferentiable once but f''(x) and f''' (x) do not exist Ddifferentiable for all xSubmit The range of the function f(x)=cosec−...