f(xn) f(xn-1) xna, prove that lim |C| = 1. n→∞ 5. Consider Cn = ƒ'(ïn-1). Under the assumption that f'(a) ‡ 0 and f'(cn) X

Q: etch the graph of a function that satisfies all of the given conditions. f'(5) = 0, f'(x) 0 when x…

A: We will find the required graph.

Q: Find f '(a). 3t + 9 f(t) : t + 4 %3D Step 1 To find f'(a), we will use the formula f '(a) = lim t) –…

A:

Q: f (x )² – 1 When the function f(x) satisfies f(1) =1,f'(1)=3 obtain a value of lim x→1 - 1

A:

Q: Find f'(a). f(t) = Since f(t) Step 1 To find f'(a), we will use the formula f(t) - f(a) t-a 7t + 15…

A:

Q: Which of these is the limit definition of the derivative of f(x)? O f'(x) f (x + h) – f (x) lim h 00…

A: use the basic definition of derivative to choose the correct option

Q: e3x Let F (x) = In tdt then F'(x) = 9xe3x - 3x°e+³ 6xe³x – 3x°e* - 3xe3x - 3x° e* 9xe3x - 3x e* ...

A: From lebnitz test.

Q: 23. The graph of a differentiable function ƒ is shown. If h(x) = f(t) dt, which of the following is…

A:

Q: ƒ(0) = 0, and ƒ'(−2) = f'(1) = ƒ'(9) = 0 ● lim f(x) = 0 and lim f(x) x →∞ x→6 • f'(x) 0 on (-2, 1)…

A:

Q: Suppose g and h are everywhere differentiable functions such that g(2) = 1, g' (2) = 2, h(2) h'(2) =…

A:

Q: Suppose that f: R (0, ∞) and that f'(x) = f(x) ‡ 0. Prove that (f-¹)(x) = 1/x for x > 0.

A:

Q: If f is a differentiable function at a, then xf is differentiable at a and (af)'(a) is: Select one:…

A: We need to evaluate the following expression xf'a

Q: Sketch the graph of a function that satisfies all of the following conditions. Explair • f(0) = 0,…

A:

Q: 83. Let f(x) = In (1 – x²). (a) State the domain of f. (b) Find f'(x). (c) State the domain of f'.…

A: Since you have asked multiple question and have not specified any question in particular, I will…

Q: suppose f(x) and f'(x) have the following values. I -1 0 1 2 f(x) 6 -9 2 -3 f'(z) -1 5 -6 -2 et h(z)…

A: Given query is to find value of the Indicated derivative using the table.

Q: Let f(x) = 6x². Find f(3 + h). f(3 + h) = 6(3+ h)² Find (3 + h) – f(3) h f(3 + h) – f(3) h X Your…

A:

Q: Find f(a)  a=2

A: We know that the definition of derivative is: We write the given equation in this format and find…

Q: Find f'(a) using the limit definition for 1 f(x) = V6 – 5x -

A:

Q: For the function y = f(x), find f'(a) using man lim = F(x) = x² + 7x, a = 3 f'(a) =

A:

Q: Let f(4) (t) denote the 4th derivative of f (t). Assume limt →00 f(3) (t) e-st = 0. Then L{f(4) (t)}…

A:

Q: Let 1 f(x) = X - - 1 A) First calculate f'(a) = lim h→0 f'(a)= (i) ƒ' ( − 2) = = (ii) ƒ'(0) = (iii)…

A: To find the derivative.