A table of values for f, g, f ', and g' is given. f '(x) g(x) f(x) g'(x) х 2 1 2 8 7 1 3 7 2 7 9 (a) If h(x) f(g(x)), find h'(1) LO

Q: Find the f( 6)(x) of f(4)(x)= (x2+1)2 Differentiation

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Q: (A) h(x) = 12f(x). %3D h'(2) = %3D (B) h(x) = -119(r). %3D h'(2) = %3D (C) h(x) = 2f(x) + 3g(x).…

A: Given Data: f’(2)=2 g’(2)=-1 (A) h(x)=12f(x) The derivative of the given function. h'x=12f'x For…

Q: A table of values for f, g, f', and g' is given. g(x) 2 8 2 Xx 1 2 3 f(x) 3 1 7 (a) If h(x) =…

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Q: (a) f(z) = (z³ + 2x + 1)(2 + ) 31 b) f(z) = VI +2 1 (c) f(x) = 2x² – I

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Q: Given the data in the table, find: (a) F(x) = f(g(x)) (b) G(x) = f(f(x))

A: Given:  A table of data is given. To Find:  a Fx=fgxb Gx=ffx

Q: let (X)> and fre)=2, f ( X) is

A: Answer and explanation is given below

Q: 2. a) Find and fully factorise the derivative of f(x) = (2x + 1)2 using expansion and the power…

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Q: Verify that f′(x) = g′(x) and explain the relationship between f and g

A: fx=3xx+2f'x=ddx3xx+2=x+2(3)-(3x)(1)x+22=3x+6-3xx+22=6x+22

Q: 4. Find the derivative. x? + 6x – 5 (a) 5х -1 (b) ƒ(x) = (3xr² – 5x - 7)' Us e chain rule (c) y =(x-…

A: Topic:- derivatives

Q: Determine h(1) and h'(1). h(x) = f (x) / g (x)

A: Value of the function is , the value of combined function, when variable is replaced with that…

Q: A table of values for f, g, f', and g is given below. xf(x) g(x) f'(x) g(x) 1 2 3 2 3 1 3 1 3 3 1 3…

A: (A) The derivative h'x can be represented as follows: h'x=f'gx·g'x

Q: Let P(x) = F(x)G(x) and Q(x) = F(x)/G(x), where F and G are the functions whose graphs are shown F G…

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

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Q: g(x)=2x-1

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Q: Differentiate the function. g(x) = 2x2 – 2-8x + 11 g'(x) =

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Q: f(x) = x' +x² +1 and g(x) = 4 – x²

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Q: Let f(x) be a polynomial and g(x) = f '(x) be its derivative. If the degree of (f(x) + f(-x)) is 10,…

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Q: Let f(x) = 5x² cos(2x). f'(x) = -10x²(2x) + 10x cos(2x) f'(5) = 0 f"(x) = -10x² sin (2x) + 10x…

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Q: A table of values for f, g, f', and g' is given. f(x) g(x) 3 2 1 8 7 2 X 1 2 3 (a) If h(x) =…

A: A table of values for f, g, f', and g' is given. x fx gx f'x g'x 1 3 2 4 6 2 1 8 5 7 3 7 2…