Assume that f'(c) = 0 and that f'(x) changes from + to - at the critical point x = c. This means that f has V at x = c. Assume that f' (c) = 0 and that f'(x) changes from - to + at the critical point x = c. This means that f has v at x = c. ---- ----

Q: Determines the speed at which the two cars approach or move away from each other 0.5 hours later.…

A: The distance function d between two cars is given, we have to find at time t = 0.5 whether the car…

Q: Let (x) = VI+x - (1+). Then f(0) = f (x) = , and it is Select--- v when x > 0. f(x) – {(0) f'(c) =…

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Q: Let f(x) = 6 + V4x – 5. Find f-'(x). f- (x) = for x > 6

A: Given f(x)=6+4x-5 The objective is to find f-1(x).

Q: Suppose that f(-5) = 0, f'(-5) = 4, f(8) = 9, f'(8) = 6, g(8) = -5, and g'(8) = 4. Compute (f o…

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Q: (-7)=|

A: Topic:- derivatives

Q: Let f(x) = x7 Then f'(x) is 5æ5 + 3x³ – 3æ – 4. За — - - f'(3) is f' '(x) is and f''(3) is

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Q: Differentiate the following function: VP - 4V U = u =||

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Q: h' (2) = 4, then f'(2) = ? We know the following 5. Suppose that f(h) and h(r) are functions such…

A: Using the given value we find the composition function value and value of f’(2)

Q: Suppose f and g are functions that are differentiable at x=5 and that f(5)=8 ,f'(5)=-3 ,g(5)=-1 ,…

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Q: If f(q)  = 50 + 50q gives profit when selling q units, and g(t) = t^2 - 12t + 1 gives the quantity…

A: Given: f ( q ) = 50 + 50 q , where f ( q )  is the profit on selling q units. g ( t ) = t 2 – 12 t +…

Q: let f(2)=3, f'(2)=4,g(2)=3,g'(3)=2. find (g o f)'(2)

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Q: find all critical points of the function f x = x^−1 − x^−2

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Q: and g(x) are differentiable functions, suppose that f(-2) = 1; f(1) = 5; f'(-2) = 3; f'(1) = 3;…

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Q: Let f(x) = x' - 3x° + 2x- 2x 5. %3D Then f'(x) is f'(4) is f"(x) is and f''(4) is

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Q: determine the f(0) if f'(x) = 2cosx + 8x^3 + e^x

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Q: Let F(x) = f(f(xæ)) and G(x) = (F(x))² . You also know that f(9) = 3, f(3) = 2, f'(3) = 5, f'(9) =…

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Q: The derivative of f (a) = 2a* +a' + 2 a2 +1 is O f' (*) = 4 a + 3 a2 +2 .3 O f' (*) = 8 a* + 3 a +4…

A: The correct option is 4th option .

Q: Let f(x) = ƒ' (5) = f" (5) = f"" (5) = 1-4x 1+4x Compute the following.

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Q: Let F(x) = f(xf(x)) where f(2)=4, f(8)=5, f'(2)=-3, f'(8)=7. Find F'(2)

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Q: Find F'(0) if F'(x)= (1+x) (2+ x)² (3 + x)³ (4 + x)+.

A: Solve the given problem.

Q: 15. For f (x) = x ^ 3 -12x + 10 the interval where f (x) is concave downward is: A. (0, ) b. (-00,…

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Q: Let f'(x) = x³ - 9x² +24x +3.

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Q: Suppose (-8, 6) is a critical point of a function f with continuous second derivatives. If fra (-8,…

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Q: f"(z) = 7z – 1 and f'(-2) =-1 and f(-2) = -4. Find f'(z) = and find f(4) = !!

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Q: Suppose that f and g are differentiable functions such that f (0) =2. f'(0) =-5. g (0) =- 3. and…

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Q: Suppose the function f(x)=3x^4+ax^3+bx^2 has a critical point at x=2, for which f(2)= −80. Determine…

A: Suppose the function f(x)=3x4+ax3+bx2 has a critical point at x=2, for whichf(2)= −80. Determine a,…

Q: Let f(x) = V4 – 8. - f-'(x) =

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Q: Let f(Wx)= 6x. Then f' (2)= %3D 12/2 1 12 12 24 - 12 6.

A: The given function is: fx=6x

Q: Find f'(x) for f(x) = In(x +x²) with x # 0. Select one or more: a. x* + x² b. 4x + 2 x + x O c. 4x +…

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