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: Given that f(x) = V h(x) = x³ g(x) = = %3! Find (f ogo h)(x)

A: Composite functions concept is used.

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

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Q: Suppose f(x) ) = sinx, and let k be a real number. Let F(x) = f(xk) and G(x) = [ƒ(x)]k. Find…

A: We know that the derivative of x^n=nx^(n-1)

Q: Let f(x): = Compute f(x) f'(x) = f"(x) = = 4 + 6x x

A: given function is  f(x)=4+6xx=4x+6 then computing following :----   f'(x)=ddx4x+6=-4x2…

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: Suppose k(x) = f(g(h(x))). Given the table of values below, determine (-1). f(x) g(x) | h(x) | f'(x)…

A: We have to find derivative

Q: Let F(x) = f(x¹) and G(x) = (ƒ(x))ª . You also know that a³ = 14, ƒ(a) = 3, ƒ'(a) = 12, ƒ' (aª) =…

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Q: Let ƒ (x) = x³ – 5x² – 8 and let g be the inverse of f (i.e. g (x) = f -1 (x).

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Q: nd and simplify 2² x² (f(x) g(x)). O d² O −(ƒ (x) g(x)) = ƒ” (x) g(x)+ f (x) g″ (x) Hint 2² -(f(x)…

A: Given query is to find the double derivative.

Q: K Let f(x) - f''(x) = 3 + 3 x6

A:

Q: Find f(") (x) given f (x) = In(x + 1)

A: Given function is  f(x) = ln(x+1)  We have to find the nth derivative of f i.e. fn. We use  notation…

Q: Find a function f(x) such that ƒ'(x) f(x) = – 6x² – 1 and ƒ(0) = 5

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Q: Find f'(x) and simplify. f(x)= x x+2 Which of the following shows the correct application of the…

A: F′(x)=(x+2)22​Explanation:If you have any questions let me know in comment box thankyou for your…

Q: f(x) = In(5 + 4x)

A: Given: - The function is, f(x)=ln(5+4x) To find: - The derivative of the given function.

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: Consider the function Suppose that g(6) = ƒ' (6) = f(x) = (1 + sin(x)) (*) -9 and g'(6) - 4.

A:

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

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Q: If point P (4,-3) is on f(x) and if g(x-2) = -3f(1-x) -5 , then determine the point P' on g(x).

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Q: f(x) = In (1+x³)

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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: Let f'(x)= = (x-1) (x-2)(x+1) and g'(x) = (x+2)(x-3) (x+3)

A: We have to find the interval in which f(x) and g(x) are decreasing.

Q: which one is y=g(x), y =g'(x), y=g''(x), y=g'''(x)

A: We have to fund which graph corresponds to g(x),g'(x),g''(x),g'''(x)

Q: f(x) |f'(x) | g(x)| g'(x) -4 8 5 -3 10 4 00 3. 3.

A:

Q: Suppose k(2) = f(g(h(x)). Given the table of values below, determine k(-2). f(x) g(x) | h(x) | f'(x)…

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