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## Related Calculus Q&A

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Q: Suppose that flx) is a differentiable function and g(x)=(x+2)/f(x). If f(0)= 22 and f(0)=5, then…

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Q: The area of a disk as a function of radius is given by A = πr². How close must r be to 2.0 cm to…

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Q: Given that flz) and g(z) are concave down functions. If we define h(r) = f(r) + g(c). Then h(c) is a…

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Q: If f (x) = /In(x²) + x², what is the value of f'(1)? %3D

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Q: Given that f(x) = 4x2 − x + 2, use the limit definition of the derivative to compute f'(x).

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Q: The function f(x) is defined as follows: 3x +1 if x s0 f(x )= 2x if 0 <x <2 4 if x22 Determine the…

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Q: Suppose that f(x) is differentiable function such that f' (1)=8 and f (1)=4. If g(x) = (f(x)) /…

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Q: Suppose that f(x) is a differentiable function such that f(8)=5 and f(8)-D0. If g(x)=sin(f(x)), then…

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Q: Given the functions Az) = cos(x) and g(z) = x - 5x- 6, determine the domain of the combined fx)…

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Q: Consider the following. f(x) = L - x, 0<x< L; cosine series, period 2L (a) Find the required Fourier…

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Q: The function f(x) = is Lipshitz on ]0, ∞[. True False

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Q: Suppose that f(x) is a differentiable function such that f'(8)=7 and f(8)=1. If g(x)=cos(f(x)), then…

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Q: What is the f'(1) of the function f(x)%3D foralla #-1 x+1

A: We have to find

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Q: 2. Consider the following piecewise function f(x). 2, f) =x+2, + f)%3D -2<x<2 + 2, Determine what…

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Q: Suppose that f is a function given as f(x)=x3+bx2+cx−4 Find the exact values of b and c if we know…

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Q: If f(x) = 7cos(x), what is f'(x) ?

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Q: Show whether the following function is continuously differentiable: f(x,y)=x2y2

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Q: For #6 and # 7, use the second derivative test to determine where the curve is concave upward and/or…

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Q: On what domain is the function f(x) = – 4+ v–48 – 6x continuous?

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Q: The function f(0) = tan 0 is not defined for multiples of

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Q: If f(x) = {Vx – then value f" (1) is ?

A: Given that f(x)=x3-1x we have to findf"(1)That is we have to find f"(x) and thenput x=1

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Q: The derivative of f(x) = ax² will be greater than that of f(x) = ax, for a domain of (0,1), where…

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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

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Q: If f(x)=x', find f'(x), f"(x), f'''(x). (Pls 2. use the definition method)

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Q: For the below figure, the f(t) will be equal to

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Q: What is f' (x) when f(x) = 5e%z?

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Q: Suppose that f(x) is differentiable function such that f(1)=3 and f(1)=4. If g(x)= f(x) -, then what…

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Q: Find f'(x).

A: The given function is,

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Q: A. Consider the function defined by [x² +1, if x<5 f (x)={ |6x– 4, if x25 a. Is f continuous at x =…

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Q: For what x-value is the function y = |x+5| not differentiable?

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Q: Suppose f is a differentiable function such that f(g(x)) = 5x and f'(x) = 1 + [f(x)]³. Find g'(x).

A: We have given f(g(x)) = 5x and f'(x) = 1 + [f(x)]³.

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Q: The function /is defined as follows. f(x)= Vx +4 Find f (27) and f(-125).

A: The given function is fx=x3+4

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Q: If we apply Rolle's Theorem to the function f(x) = 2x² – 20x – 9 on the interval [3, 7], how many…

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Q: For the following function f(x,y)= x² +y°

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Q: ) Find a function ƒ such that f'(x)= x³ +3 and such that the line y+5x O is tangent to the graph of…

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