Given the function f(x) -10 ≤ x ≤ 5, answer the following questions. = a) Find f'(x) and ƒ"(x). f'(x) = 3 x² + 6 x − 45 x³ + 3x² - 45x + 8 over the interval f"(x) = 6 x + 6 b) Find the critical points of f. x1 = -5 x2 = 3 c) Find any inflection points of f. x = -1

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: 16. The derivative of the function f(x)= x - X +2 is X - 1 (x* - 2) V a) b) (x? -2) Vx x? - 2 d) X +…

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Q: Let f(x) = 5x8 5x5 - 7x³ + 4x, find f'(x). Answer: Find f'(2). Answer:

A: Given query is to find indicated derivative.

Q: a) Find 2 x-intercepts of the function f (x) = a² + 6x . The x-intercepts are and (write smaller…

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Q: How large should n be to guarantee that the Trapezoidal Rule approximation to 8 n = 4 (-x¹ + 22x³ -…

A: (a)How large should n be to guarantee that the Trapezoidal Rule approximation  to is accurate to…

Q: Incorrectly, we usually say that when we multiply any number by ten we “add” a zero to the number.…

A: a) Jushua is wrong because the correct answer is 10×1.3=13 b) If a whole number is multiplied by 10…

Q: For the function, find the following. 7 x5 120 f(x) = 8 + 8x + + %3D 6. 24 (a) f'(x) (b) f"(x)

A: given

Q: Find invers of function f(x)=1/2x+1

A:

Q: Find the absolute max. and min. of each function y=√4−x^2, (−2,1)

A: since you have posted multiple question in this question which are not interlinked so i have solved…

Q: Let f be the function given by f(x)=√x² - 9x² Find f'(x).

A: Formula Given function

Q: A function and its graph are given. (x) = x + 2x2 - 12x – 20 60 40 20 -8 -6 -4 -2 6 -40- (a) From…

A: Answer

Q: f(x) = 2 sec (-) + 1 2

A:

Q: Determine the new value of the function f(x) =x+ Inx if the independent changes from x=2e to x=2.2e

A: Given f(x) = x + ln(x)Value of function at x = 2ef(2e) = 2e + ln(2e) = 2e+1+ln2

Q: Determine f '(x) for the function

A: The derivative of the function is computed as follows.

Q: Find f(x)

A:

Q: Determine the values of x for which f (x)=x",x >0 is increasing or decreasing.

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Q: Find f. f"(x) = 6 - 6x - 40x, f(0) = 7, f'(0) = 6 %3D f(x) = %3D

A:

Q: Use the graph of f(x) to find the interval where f''(x) > 0. Ⓡ 3- 2- 1- ms -5 -4 -3 -2 -1 1 3 4 5 A.…

A: Here we have given the curve of f(x)  Now to determine all x value where  f"(x) > 0

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: Let f be the function given by f(x) = 4x³ - 5x² + 6x + 7. What is the value of f'(-1)? 28 O 12 CO

A:

Q: For the given functions f and g, find the requested composite function. 5 3) f(x)=- x+6' 8(x) = Find…

A: The given functions are; f(x)=5/(x+6), g(x)=3/4x

Q: Use the graph of f(x) to find the interval where f''(x) > 0. -5 -4 -3 -2 -1 3- 2- 2 -3₂ 4 T 5 A.…

A:

Q: 5. Determine f,(x); f(x) = x*², x > 0

A: We need to find out first partial derivative

Q: Find f. f"(x)  =20x 3    +12 x2    + 4  ,    f(0) =8,  f(1)  =5

A: Given, f''x=20x3+12x2+4f0=8, f1=5

Q: Find the function ƒ with the following properties. ƒ'(x) = 3x2 - 1; ƒ(0) = 10

A: Given, f'x=3x2-1f0=10