Supposef is continuous on [2, 6] and differentiable on (2, 6). Ifƒ(2) = −9 and f'(x) ≤ 6 for all x € (2, 6), what is the largest possible value of f(6)? Provide your answer below: The largest possible value of f(6) is

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A: The given function is f(x)=ln5x-x24

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Q: (-) = { 2*. x 2 Find the values of a and b so that f will be differentiable at x = 2.

A: Given function is fx=7x2        ,x≤2ax+b    ,x&gt;2. By continuity, 722=a2+b74=2a+b2a+b=28     ...1…

Q: (d) Prore that the function f(x) =X is Continous but not unifomly Continous on the intenal

A: Use the  absolun delta definition for uniformly continuous

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A: If a function is differentiable at any point x=a ,then its L.H.D. =R.H.D.

Q: 1. Suppose that f is a differentiable function and f'(x) ≤ 4 on interval [-5, 2]. If f(2)= 6, then…

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Q: Let f be a real-valued function on R. Suppose that f(−1) = 3 and f'(x) ≤ 2 for all values of x. How…

A: f(-1)=3f'(x)≤2Integrating w.r.t x;∫ f'(x) dx ≤ ∫2 dxf(x)≤2x+Cf(-1)=33=2(-1)+CC=3+2C=5