Let f'(x)=(x-1)(x-3). Then f is increasing on a) (-∞,1]U[3,0) b) (-0,2] c) [1,3] d) [2,00)

Q: Suppose f(x, y) = x" + y*. Find fa(1, 1), f,(1, 1), and fz (x, y)

A: Given :f(x,y)=xy+yx

Q: +(n) = 3 (²³-9x² +33m - 18 enfor 1) Ⓒincreasing in (-0,0) (Ⓒineressing M- L decreasing in (2,8) in…

A: The function is given by:-Since, the natural log is present in the function.Domain of the function…

Q: Let x + 2 f(x) x + 9 f-(- 9) =

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Q: Let f(x) = (x – 8)² + 4, æ > 8. Determine f-'(x). f-'(x) = ||

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Q: Which interval is f increasing when f' (x) = x³ - x ? (a). (-00, 0) (b). (–1,0) (c). (–1,1) (d). (0,…

A: If f'(x) >0 then f is increasing.

Q: Differentiate the following function. y=x(x5 + 5) 3 Choose the correct setup below to differentiate…

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Q: What is the point of intersection for f(x) = 2* and g (x) = (÷) ? A (1,0) (2,4) C (1.) (0.1)

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Q: Evaluate the function when x = 1, 3 and 3 3 1) f(x) = x + 2x - 3

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Q: (5,-2,-6) UXV (b) (c)

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Q: when zo f(x-y) *y - 1

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Q: The derivative of f(z) - (+10z) is O6z (2z + 10) O6z (2z+10) O 6z (2z + 10) O 6z+60

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Q: Let f(x) = 5x - 2 and g(x) = 2- x^2. Find the following. A) g(f(3)) B) f(g(x)) C) ff(x))

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Q: Consider the function F(x)= (x+2)^2 for the domain [-2, ∞)

A: Given           Function is :                            F(x)=(x+2)2 for the domain [-2, ∞)   To…

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: Let 11 f(x) = ( – 2a² – 4)(7z² – 4)" - - f'(x) =

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Q: f:[0,1] -> [0,1] such that f(x)=x^2 has two fixed points. Is this true?

A: Given that f:[0,1] to [0,1].

Q: Ef(x) = x² + 2x – 6find 7(x+h)-f(x) h = 0

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Q: Let f(x) = 2x³ + 1. a) Find f(x+h): 2(x+h)³ +1 b) Find f(x + h) − ƒ(x): h(6h² +6xh+: 2h²) c)…

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Q: is a zero of the function f(x)=2x' - 15x2 + 34x – 21 Hint - ( 2x -7) as a linear factor 712 712 8.

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Q: Let f(x) = (3x + 7)(3x² + 2)8. Compute f'(x).

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Q: Let f(x) = (- 3r- 9)* (6z² – 6)5 4 f'(x)=

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Q: If f(X) = f () = ( ). (x+2y)2 2x – y? Then f' (G) 6 12 a) 4 -2 b) (: ) 6 11 4 3 1 c) -5 -2 6 10 d) 4…

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Q: Let F(x) = f(x') and G(r) = (f(x))". You also know that a 8, f(a) = 2, f'(a) = 13, f'(a') 10 Then F…

A: Follow the procedure given below.