f(x) f'(x) | g(x) (x)6 | (x),f (x),6 7 -3 13 -10 18 -2 15 22 4 -1 7 20 -5 19 18 10 19 12 1 11 8 15 -3 5 2 8 3 12 4 4 Use the table above to find the following. (a) If h(x) = sin(x)g(x) then h'( – 3) f(x) then j' (2) cos(x) (b) If j(x) (c) If k(x) = tan(x)g(x) then k' (2) = (d) If 1(x) = 4x sin(x) f(x) then l'(1) N CO 2.

Q: Find the derivative (df/dx) 1- f(x) = cscx - 4√x + 7y−² 2-f(x)=x² cotx-x-2 3-f(x) = (secx + tanx)…

A: We have to find derivative of given function.

Q: If f(x) = tan (3x), then f'(x) = (A) 12 tan (3x) sec?(3x) (B) 4 tan (3æ) sec2(3x) (C) 12 tan (3x)…

A: derivative

Q: g(æ) + x sin(g(x)) = x? – 25 and g(5) = 0, then g (5):

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Q: Find f(x) and g(x) such that h(x) = (f o g)(x). Let g(x) = 3x + 1. 1 h(x) = V3x + 1 f(x) =D

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

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Q: In (x2+1) f (x) x2+1

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Q: If f(x) = x + 3 and g(x) = x – 3, (a) f(g(x)) : (b) g(f(x)) = (c) Thus g(x) is called an function of…

A: Since you have asked multiple questions in a single request, we would be answering only the first…

Q: Let f(x): = x + 6 x + 5 (a) Compute the difference quotient of fly)

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Q: (1) Express j-3(x) in terms of Jo(x) and /+1(x)

A: Given:J-3x, J0x, and J1x. We have to express J-3x in terms of J0x, and J1x.

Q: Find all real values of x such that f(x) = 0. (1) f(x) = x -x (i) f(x) = x - x - 5x +5.

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Q: 1.Find g(f(4)) 2. Find f(h(5)) 3. Find h(f(-2)) 4. Find f(g(x))

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Q: Let f(x) the function defined below, where -1 < x < 1. TX f(x) = 2 + x2 + tan 2 (a) Find f-1(2). (b)…

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Q: Determine whether the functionf is one-to-one by examining the sign of f' (x). (a)ƒ(x) = x³ + 9x² –…

A: first we look at the sign derivative if  f'x&gt;0 or  f'(x)&lt;0   for all x in their domainthen…