uppose that f and g are functions such that f(5)=3, f'(5)=-2, g(5)=4, and g'(5)=-5. nd h'(5) where h is the composite function h(x) = f(x). g(x) Paragraph く BI UA I く + v ...

Q: Let f and g be functions of x, where a is an unknown constant. What is a valid expression for (-)'…

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Q: Show that f-(A U B) = f-'(A) U f-'(B) and f-1(A n B) = f-'(A) nf-'(B) for any function f. Is the…

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Q: Let x + 1 f(x) x + 9 f-'(- 4) =

A: To find the solution first we have to find the inverse of the given function and then evaluate it at…

Q: Evaluate Function  g(3,4) when g(x,y)=x-6y/x^2+y^2 a. -25/21 b. -5/21 c. -21/25 d. -21/5

A: For this problem, we have to substitute the values of x and y in given function g(x,y).

Q: Let x + 2 f(x) x + 6 1( – 10) - -

A: Given f(x)=x+2x+6

Q: If f is one-to-one and f( – 3) = 12, then f-'(12) and (f( – 3))¯

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Q: Fnd f'Ce) of the fallowing functien. f Cx)

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Q: known that the points (4, 7), (8, 11) and (14, 18) are on the graph of the function y = f(x). It is…

A: Given: (4,7),(8,11) and (14,18)   are on the graph of y=f(x)

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.…

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Q: V5 + ut du. f(t) =

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Q: Consider the function. g(x) = 2x4 - 5x³ + 13x – 3 Find g'(x). gʻ(x) = 8x – 15x2 + 13 - Find g"(x).…

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Q: Let f(x) be a one-to-one function with the point (-1,2). If f'(-1) = 12, then find f-1(2)

A: fx be the one-one function having the point -1,2 and f'-1=12. So the inverse function is f-1(y)=x if…

Q: Help find a function f so that f ‘(x) = 3x2+ 2x+5 and f (1) = 10

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