Either f(x) a graphically defined function. 3 y 2 + e -5 -4 -B -2 -1 0 -1 -2- O -3-

Q: If ƒ(x) = (x² + 4x + 5)², then f'(x) = 4x³ + 24x² +52x + 40 f'(2) =

A: Given f(x)=(x²+4x+5)²

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: Let F(z) = f(f(2)) and G(r) = (F(x))'. You also know that f(3) = 12, f(12) = 3, f'(12) = 5, f'(3) =…

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Q: Given f(x) = 1 –}(9+ 3x) + †(9 + 3x)² – (9 + 3x)³ then f'(x) = %3D O - + (9 + 3æ) – 243 (9 +…

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Q: 47. If S(2,y)=(2x-3yy', then f,= _ a) -15(2x-3y)" b) –10(2x-3y) c) 15(2x-3y) d) 10(2x-3y)

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Q: Find f'(x) if f(x) 9x (8x+2) 4 2√9x²-6 18x+48 5 (8x+2) 4 -9x² +16x+10 5 4(92²-6) 2 (8x+2) 4 6…

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Q: Let F(x) = f(f(x)) and G(x) = (F(x))². You also know that f(5) = 6, ƒ(6) = 2, ƒ'(6) = 6, ƒ'(5) = 12…

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Q: Prove that for integers y=1 the equation 3h-n (2x₁ + x₂ + 4x₂) +3² (~1(2x₁+x₂+.+xn-1)+...+3^-1 (2²₁)…

A: We will use contradiction to prove it.

Q: -2x² √4-x² O(-∞, -√2) and (√2,00) O[-2, -√2) and (√2, 2] Given f'(x)= O(-2,2) O(-√2, √21 determine…

A: Function increasing and decreasing.

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

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Q: Suppose f(x) = N(h) + a,h + a,h² + azh³ + --. The value of N, (h) using Richardson's extrapolation…

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Q: y^(5)−4y^(4)+4y^(3)=0 Use lower case c1,c2,c3,c4, and c5 for the arbitrary constants. y(t)=

A: y^(5)−4y^(4)+4y^(3)=0Use lower case c1,c2,c3,c4, and c5 for the arbitrary constants.y(t)=

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) = f(f(x)) and G(x) = (F(x))². You also know that ƒ(8) = 11, ƒ(11) = 2, ƒ'(11) = 5, ƒ'(8) =…

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Q: Zx-16zx+60z=e 5x

A: We can find the auxiliary equation and this easily find the general solution and then using the…

Q: Find f" (x) if f (x) = 3(2x¹ + 2x² + 1)¹. 48 (2x³ + x) (2x² + 2x² +1)³ 48 (6x² + 1) (2x² + 2x² + 1)²…

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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: Suppose f'(x) = 8x³ + 12x + 2 and ƒ(1) = −4. Then f(−1) equals . (Enter a number for your answer.)

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Q: y' = 8|x| = - 8x, x≤0 8x, x>0

A: To find y'' and graph the general shape of f(x), we first need to integrate the given expression for…

Q: Show that the f(x)=x-(In x)^{x} =0, has at least one solution in the interval [4, 5]. O f(4)=0.31,…

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Q: Let f(x) be a function with second derivative of f"(x) = -(5x +11)?(x – 2) Determine the local…

A: When a function's at critical point x , and the second derivative at x is: less than 0, it is a…

Q: Given f(z) %3D 1-홀 (9+3x) + 을(9+ 3z)2-꿈 (9+3z)3 then f'(a) = 0-을 + 꼴 (9+ 3z) -부 (9 + 3z)2+ 0을-을(9+…

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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: f(x) = x²-2x-10, (P¹) (5)

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Q: -8x Since f'(x) then (x2 - 4)2' (x? – 4)>(D) - (-8x)[2cx? – 4)(Ox)] _ 8 x2 f"(x) (x2 (y2

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