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: Find f such that f'(x) = 10x - 7, f(8) = 0.

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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: 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: dH f(5) = 8, f' (5) = 4 f(26) = 8, f'(26) = 6, g(5) = 1, g'(5) = -9, and H(x) = f(r² + g(x)). Find…

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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: A traverse is undertaken around the perimeter of a plot of land. The following paths are recorded.…

A: Given: Path 1: 3107ft @ S 65° W Path 2: 4805ft @ N 17° E Path 3: 6892ft @ S 62°E Path 4: 2592ft @ S…

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: Find f'(w) for the function. 8w7 - 9w5 f(w) = 7w5 f'(w) = %3D

A: differentiate f(w) with respect to w

Q: Compute f’(-2) using shortcut rules. f(x) = 5x + 9

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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(t)=(t^2+4t+3)(5t^2+6). find f('t) and f'(3)

A: Given: f(t)=(t^2+4t+3)(5t^2+6) find f('t) and f'(3) = ?

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: 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: 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: Let f'(x) = x³ - 9x² +24x +3.

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Q: The following series 3 2n+1] (-1)" 4n 3n n=1

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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: Let I +1 f(z) = I + 10 f(- 5) :

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