SpletThe least value of the function f (x) = a b a x + b x (where a > 0, b > 0, x > 0) is ab 2 ab. Explanation: Here, f (x) = a b a x + b x ⇒ f' (x) = a b a - b x 2 For maximum and minimum value f' (x) = 0 ∴ a b a - b x 2 = 0 ⇒ b a x 2 = b a ⇒ x = b a ± b a Now f" (x) = b 2 b x 3 f'' b a b b a f'' ( x) x = b a = 2 b ( b a) 3 2 = a b 2 a 3 2 b 1 2 > 0 SpletConsider the function f(x) = (Ax+b)T(P 0+x1P1+···+xnPn) −1(Ax+b) where A ∈ Rm×n, b ∈ Rm, and P i= PT i∈ R m×m, with domain domf = {x ∈ Rn P 0+x1P1+···+xnPn≻ 0}. This is the composition of the matrix fractional function and an affine mapping, and so is convex. Give an LMI representation of epif.
The least value of the function f(x) = abax+bx (where a > 0, b > 0, x ...
SpletAs x approaches 3 from below and from above, the value of the function f(x) approaches f(3) = 6. Thus the limit lim x!3f(x) = 6. Question 2: Find lim ... x!4f(x): f(x) = ax2 + bx+ c (A) +1 (B) 16a + 4b + c (C) 1 (D) Does not exist! ... Answer: (A) Remember that, informally at least, a continuous function is one in which there are no breaks its ... SpletLet f be a continuous function over the closed interval [a, b] and differentiable over the open interval (a, b) such that f(a) = f(b). There then exists at least one c ∈ (a, b) such that f′ (c) = 0. Proof Let k = f(a) = f(b). We consider three cases: f(x) = k for all x ∈ (a, b). There exists x ∈ (a, b) such that f(x) > k. division 2 is it cross platform
The least value of the function f (x) = ax + b/x (a > 0, b > 0, x > 0 ...
SpletTranscribed Image Text: Find the least squares approximation g(x) = a + a₁x of the function f, and use a graphing utility to graph fand g in the same viewing window. f(x) = 3 sinx, 0 ≤ x ≤ π/2 (a) Find the least squares approximation g(x) = a + a₁x of the function f. g(x) = (b) Use a graphing utility to graph fand g in the same viewing window. y O O 3 2 1 y 3 2 1 TRL+ 4 … SpletThe least value of the function f(x)=ax+ xb(a>0,b>0,x>0) is______. Medium Solution Verified by Toppr Solve any question of Application of Derivatives with:- Patterns of problems > Was this answer helpful? 0 0 Similar questions If the polynomial function f(x)=ax 3+bx 2+cx+d … SpletCompute answers using Wolfram's breakthrough technology & knowledgebase, relied on by millions of students & professionals. For math, science, nutrition, history ... division 2 is skill tier worth it