Find the positive critical point of the function f(x) = 10 +2. 10 √2 √√3 x = 0₂-5

Q: What is the length L of the interval on which the function f(x)=x3−6x2−15x+8 is decreasing?

A: Given

Q: Find the derivate of this function]: 2 a) f(x) = 4x² + x + 9 at -5 f(-5) = b) f(x) = √√√x at 16 F'…

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Q: Find the extrema of f (x) = 2x3 − 15x2 + 24x + 7 on [0, 6].

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Q: Consider the following function. f(x) = (-x^6+6x)/10 (a) Find the critical numbers of f. (Enter…

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Q: Find the critical points of the function f (x) = 2x³ – 9x² +12x+47. Show all your work.

A: Firstly we find the derivative of the function and then put it equal to zero and find the x values…

Q: Estimate the error in √(x-1)=1+x/2 when |x| < 0.01.

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Q: Which value of X is not in the domain of the function G(x)=26/15x-29" I am a little confused by the…

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Q: Consider the function f(x) = 12x5 + 15x¹ — 240x³ + 5. f(x) has inflection points at (reading from…

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Q: Let f(x) = 4 + √√4x – 8. Find ƒ−¹(x). ƒ−¹(x) = " for x > 4

A: Step 1 : Write f(x) as 'y'.Step 2 : Swap 'x' and 'y'.Step 3 : To solve 'y' .Step 4 : Replace 'y' as…

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Q: Linearize f(x)=√√7-x for a=3 and use it to approximate the value of √2.7. L(x) =

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Q: f(x) =  x+6/x-6     o   x + 6 x − 6   where is the concavity of this function downward?

A: We are given a function f(x). We need to find the interval of concave down.

Q: An inflection point of the function ƒ (x) = 2x³ – 12x² – 24x −— 10 is at x= 01/1/20 O 01 O 3 04

A: The inflection point is a point in which the concavity of the function changes. It means that the…