24 8. (10) Let g(x) = sin (x) if a +0 %3D 0. if r=0 Is g' is continuous at 0?

Q: Let f : R → R be a one-to-one differentiable function where f(0) = 8, f'(0) = -2, f(6) = 9, and…

A: Given, f:ℝ→ℝ be a one to one differential function. f0=8,f'0=-2,f6=9,f'6=8

Q: Let h be a differentiable function with a tangent line at x = TT. The equation of the tangent line…

A: We have to find the value of h(x) at x=0,π

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

A:

Q: (20p) Let f be a differentiable function satisfying the equation f(a + b) = f(a) + f(b) + 2ab for…

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Q: 2/5x-1=3/10x+7

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Q: The derivative of f(t) = 21° · h(t), where fand h are differentiable functions is: A. 10° · h(t) +…

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Q: 1. f(r +h)-f(r) Using f'(r) = lim %3D Find the derivative of f(r) = V3x- 4. %3D

A: To find the derivative of f(x)

Q: Use the graph of the derivative f' of a continuous function f is shown. (Assume f' continues to ∞.)…

A: Use the graph of the derivative f'(x) of a continuous function f is shown .

Q: The product of two numbers x and x + 170 can be simplified to be x + х.

A:

Q: 9 f:(-0,0) U (0, ∞) → (∞,0) U (0, ∞0). Where f(x) х Show that f(x) is continuous at x=3 with the…

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Q: 1. What is true about the function f(x) = b* ? (Circle ALL that apply) c. f'(0) = Inb b + 1 b. x>0…

A: Find your answer below

Q: 3. (a) Let f be differentiable on an open interval I and suppose f"(x) = 0 for every x in 1. Show…

A: Let f be a differentiable on an open interval I i.e. (a,b), Suppose that f'(x)=0 for every x in…