Suppose that f(x) I + 6 is differentiable and has an inverse for æ > 1 and f (2) = 8. Find (f ')' (8).

Q: For the function f(x) = -7 e X, find f"(x), f''(0), f'"(9), and f''(-9). f"(x) = (Type an exact…

A: The objective is to solve the above question.

Q: For the function f(x) = In x 11x find f''(x). Then find f''(0) and f''(6).

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Q: Let f (x) = Evaluate the following. Simplify if possible. 9x +7 f (x) – f(a) a) 7 where A = A' for x…

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Q: Suppose that f (0) = 2 and f'(x) 0. Show that f(4) 0.

A: f(0)=2   and f'(x)≤3  for all x>0 ⋯(i)integrate (i) w.r.to x ,we getf(x)≤3x+kput…

Q: 3) Let f(x)= 2x+3 . Calculate by definition f'(2).

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Q: for function f(x) = e=z²/(20²) sketch f(x)!

A: Topic :- Calculus

Q: Let f(x) = 3". As x → 0, what does f(x) → ?

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Q: then compute f'(4). f(x) = x³ + 2x² x√x

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Q: Suppose that f(x) is a function with f(140) = 25 and f' (140) = 2. Estimate f(142). f (142) =

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Q: Let c =8 If f (x) = ecsin(). Find f' (0)

A: Given c=8and f(x)=ec.sin(x)⇒f(x)=e8sin(x)

Q: Let f (x) = x² 2 - 8 Find and simplify f'(x) and f" (x). + B where f'(x) = A = B = C = %3D Dx2 + E…

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Q: answer. 3. Given f(x) = ln(5x + 3)2, find f'(0), Your answer should be exact-no %3D decimals!

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Q: Suppose that f() is a function with f(140) = 25 and f'(140) = 8. Estimate f(135.5). f(135.5) =

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Q: Suppose that f(x) is a function with f(130) = 39 and f'(130) = 2. Estimate f(132).

A: f(x) is a function with f(130)=39 and f′(130)=2

Q: Find the inverse function of f(z) = 4 + V7. f"(z) =

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Q: 3. Let f(x) = 4x3+ + 2vx-7. Find f'(x).

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Q: Suppose f'(x) = c for all x, where c is a constant. Show that, for some constant d, f(x) = cx + d.

A: suppose f'(x) =c for all x, where c is constant .Show that for some constant d, f(x)=cx+d

Q: 5. Determine f,(x); f(x) = x*², x > 0

A: We need to find out first partial derivative

Q: Let f and g be the functions defined for x > 0 by f(x) = (Væ)* and g(x) = (Vx)** Which function is…

A: According to the given information, Consider the function f and g defined as:

Q: Consider the function f(x) = v2x + 2. If f -' (x) is the inverse function of f(x), find f -(8).…

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Q: Let f (x) = 5x4 + 3x3 + 3x2 + 5x + 5. Fill in the missing coefficients for the derivative of f:

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Q: Suppose f(r) = (In z)e. What is f'(x)?

A: d/dx (f(x)g(x))= f(x)g'(x)+g(x)f'(x)

Q: Let f(x) E R[x]. Suppose that f(a) = 0 but f' (a) + 0, where f' (x) is the derivative of f(x). Show…

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Q: Given f (x) = x³ - 3x – 1,x 2 2, find (f~')'(-1)

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Q: 4. Find F'(8) if F (x) = x

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