Find the following using the table below. 1 2 3 4 f(x) f'(x) g(x) g'(x)` 3 1 4 1 3. 1 4 'h(4) if 'h(x)=f(x)*g(x)` Preview 'h(4) if 'h(x)=f(x)/(g(x))` Preview M41 22 4)

Q: -1 if f(x) = xtan ,"x,find f' (/3 )by first principle

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Q: 39.3

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Q: Consider the following table x f(x) g(x) f'(x) g'(x) 5 0 2 0 2 11 -2 3 2 4 4 1 -1 33 -3 2 3 What is…

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Q: (a) h(x) = x^√√x² +1 (b) f(x) = (3x² - 2x+1)³(x¹ -2r²- 3)² 4 (c) g(x) = (3-4) ¹ 5x+7

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Q: If f(x) = f' (x) for all æ, then f(x) = = f" (x) for all x. True False

A: f(x) = f'(x) for all x Then f(x) = f"(x)  for all x

Q: ider the graph of the function f(x) = x¹. n change in the function rule will translate f(x) to the…

A: Given query is to find the option which translates the function in left.

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: Consider the following table xf(x)g(x)f'(x)g'(x) 02 5 0 2 11 -2 3 24 4 1 -1 33 -3 2 3 What is h'(2)…

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Q: can you explain if this statement is true or false if h(x)=f(g(x)), then h'(x)=f'(g'(x))

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Q: If f(5) = 1, f'(5) = 6, 9(5) = –3 and g' (5) = 2 determine: а) (f x 9) (5) b) (72)'(5).

A: Recall: Product Rule: fg'(x)=f'(x)g(x)+f(x)g'(x) Quotient rule: fg'(x)=g(x)f'(x)-f(x)g'(x)[g(x)]2

Q: Consider the graph of f'(x) in Figure 6.4. Which of the functions with values from the Table 6.1…

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Q: Find the following using the table below. `x 1 2 4 'f(x) 1 3 4 'f'(x)` 2 1 `g(x) 1 3 4 `g'(x) 4 1…

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Q: Let f and g be the functions in the table below. g(x) 2 3 1 X 1 2 3 f(x) 3 1 2 (a) If F(x) =…

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Q: Differentiate. f(x) = In f'(x) = X 6

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Q: 7 Let f(x) = Find f'(x). (8x2 + 2x – 6)* f'(x) =

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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: 11. f(x) = 4x³ In(5x² +1)

A: Topic-Derivative of a function We are given,f(x)=4x3ln(5x2+1)we know…

Q: or formula (**). (Answer: (a) Let f(x) = x² – 3x + 2. Find f'(4) using either formula (*) 5)

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Q: Explain in your own words, how do you find the followings using first and second derivatives of…

A: To Explain: How can we find followings using first and second derivatives of function f(x):(a)…

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: 1 If f(x) 1 then x2 f'(2) = |(2x^2+6x+12)/(x^5) Preview

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Q: Determine f(x) if f satifies f'(x) = 1 + f(x)² and f(7) = 0 f(x)

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Q: et f and g be the functions in the table below. f(x) g(x) f '(x) g'(x) 1 2 4 1 3 7 2 1 7 (a) If F(x)…

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Q: 1) f(x)= (x3+2x)6, Then Find f''(x)

A: As per our guidelines we are suppose to solve first question. Kindly repost the other question as…

Q: What conclusion can you draw if f' (c) = 0 and f'' (c) < 0?

A: Given: f' (c) = 0 and f'' (c) < 0