consider a tarice derivable function f(x) that f(1) = 3₂ f(2)=6 fles=6, f(sh) = 9. 2 H=8 @least once in /1,3) (n)= 3 @least twice in (1,3) u 3f" (*): 0 once in (1,3) (5) f"(n)=0 nowhere in (1,3) such

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A: “Since you have posted a question with multiple sub-parts, we will solve first three subparts for…

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Q: 36. Let f be a twice-differentiable function of z such that, when z = c, f is increasing, concave…

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Q: (7) If f(z) is analytic function show that: (+)rox-4rt =

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Q: VI. Suppose f is continuous everywhere, f' is differentiable everywhere except at x = -1, and the…

A: “Since you have posted a question with multiple sub-parts, we will solve first three sub-parts for…

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A: Note f'(x) of constant is 0 always

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A: ddkcosh-11+k2

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A: Given,

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Q: 4. Find f"(2). (a) f(u) = 2u²5 – u).

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Q: let p(x)=g(f(x)). use the given table to find p'4

A: p(x)=g[f(x)] diff. w. r. to x p'(x)=g'[f(x)] . f'(x)  ..................(1)

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Q: 1. The graph of ƒ' is shown. y = f'(x) 2 -2 1 1 2 3 4 6 7 -2 -3 Sketch the graph of f given that f…

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A: Solve the given problem.

Q: Cet f(x): f'(12) = 4x - 3 5x67 Evaluate f'(x) at x = 12.

A: f(x)=4x-35x-6d dx(ab)=bd dx(a)-ad dx(b)b2d dx(xn)=nxn-1

Q: 9. Is the function defined by gon3 – 3 if 2. continuous at r= 2? differentiable at x = 2?

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Q: c) Suppose f(5) = 1, f (5) = 6, f'(-3) = 4, g(5) = -3, g'(5) = 2, and h(x) = f(g(x)) + f(x)g(x),…

A: Since you have asked multiple questions, we will solve the first question for you. If you want any…

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A: Given: f(t)=9t2-7t

Q: 7. Modify B(3) to construct a C* function C(2) which satisfies C(2) = 0 if z S 0.. a. b. C(z) = 1 if…

A: please see the next step for solution

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Q: If f (3) = 5, g(3) = 2, f'(3) = 4, g'(3) = -4, and h(x) = 18. h'(3)? %3D what is 9(2). O 7 O -1 O…

A: f(3) = 5g(3) = 2f'(3) = 4g'(3) = -4

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A: Solved below.

Q: What is f'(3) if f(z) = z/2z - 2 I.

A: d(xn)dx=n(x)n-1

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A: