If f (x) = 2x3 + 8 x² + 3 , at what points are f '(x) zero or does not exist ? (A 1, 0 B 8 0, 8 0, - - 3 3

Q: A function f(x) has an inflection point at (2,-2). Which of the following could NOT have been the…

A: We know that point of inflection can occur where the second derivative is 0. It is the point at…

Q: 1. f(x) = (3x² – 5)(2x* – x) 2. y = (6x³)(7x*) 3. y = (3x2 -1)(x² + 5x + 2) %3D -

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Q: differentiate the question 1 to 5

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Q: For the function f (x) = 5a- 7x +4r + 3 %3D a. Find f '(x) b. Find f" (x) c. Find f" (0) and f “ (2)…

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Q: f(x) = -9 f'(x) = -(x²+9) (x²-9)2 f"(x) = 2x(x²+27) (x²–9)3 4. Given a) Provide a complete analysis…

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Q: Let f(x) = 2x – 1, g(x) = 3x, and h(x) = x^2 + 1. Compute the following: A. f(g(h(2))) B.…

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Q: 3x10 + 3a5 + 5æ² + 7. What particular solution that satisfies Suppose f'(x) 455 -? 66 f(1)

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Q: Find f'(x) for each of the following:< Ax) = 3x³ – 2x +4 b Ах) — 3(х + 2)? -2е a 8x* – 3x Ax) = Ax)…

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Q: 2. Find f'(1) if f(x) = 3x³ (√x-2).

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Q: Differentiate 3x-1 2x + 3 with respect to 'x'.

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Q: For what values of x is Ax) concave down if f "(x) = 3x' – 14x² + &r?

A: Given that, f''x=3x3-14x2+8x For what value of x is fx concave down.

Q: 10) Find (ƒ^¯') (-5) if ƒ(x)= x³ +3x−1.

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Q: 1 show that f (-2) = f(2). 4 If ƒ(x) = x" 4

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Q: Suppose f(x)=x^4+3x+1 on the interval [−4,−1]. Find x when f′(x)=0.

A: Given function is Differentiating with respect to x , we get

Q: find the value of x in (1/(3x+1))+(1/(x+1))=(1/(3x+1)(x+1))

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Q: If (2,9)=, then f„- If f(x,y)

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Q: 4x - 7x Differentiate with respect to 'x' 6x + 5

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Q: Let f(x)= ax'+x² + bx +6 where a and b are real numbers, and f(2)=3. Find the value of f(-2).

A: f(-2) = 17  The detailed solution is as follows below:

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: 1. Determine f'(x) and DO NOT simplify. f(x) = 2x³7x² + 3x - 1 a) c) f(x) = -3√x 2 b) f(x) =…

A: To determine f'x and to do not simplify. (a) fx=2x3-7x2+3x-1 (b) fx=5x2-3x (c) fx=2x2-3x

Q: why does F(r(t))=-r/(1+(a-1)t)^3/2 instead of r^3? does |r| just equals to 1+(a-1)t?

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Q: 7- Differentiate Y= f(g(x4)) h³(√x)

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Q: 4a) Which method? y = 4 – x², y = 0, x = 0 about the y-axis. %3D disc O washer 4b) Solve y = 4 – x²,…

A: We solve this problem using disc method. Final answer is 6π unit ^3

Q: Find (f-1)'(9) if f(x)=x3+x-1

A: To detemine the value of the derivative of the inverse function at the given point

Q: Suppose that f (x) = 8x² – 2x + 5. Evaluate each of the following: f'(9) = f'(-11) =

A: Given,            fx=8x2-2x+5

Q: 3. Given that f(x) = -x³ + 4x- – . Evaluate the value of f"(-)

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Q: 2. In the following function, determine f'(x): 2 a. 3√√x2 b. 15x4 C. 1 2 x² +6 x3 20x320 2

A: NOTE: As per the guidelines, I have solved three parts. If  you want solution of the remaining part,…