Consider the following. Find g'(x). g'(x) = X = g(x) = Solve g '(x) = 0 for x. (Round your answer to the nearest hundredth.) X In(x) = Find g(e), g(2), and g(10). (Round your answers to the nearest hundredth.) g(e) = g(2) g(10) = Find the absolute extrema of the function g(x) = Absolute minimum: Absolute maximum: at x = at x = on the interval [2, 10]. (Round your answers to the nearest hundredth.) In(x)

Q: Find g'(x) for the given function. Then find g'(-4), g'(0), and g'(2). g(x)=√15x

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A: We write f(x) using ln(x) because we know derivative of ln(x) We use the change of base formula of…

Q: 'f(x) = 5x² + 2 and 9(x) = 1/x , find and simplify f(9(x)). %3D

A: Given f(x)=5x2+2  and g(x)=1x To find and simplify the value of fgx

Q: logs(x) if 3 s x 56 if 0 < x < 3 +1 if -2 s*s0 x-2 Let f(x) = %3D x+1 Find f ().

A: Given fx=log5x2if 3≤x≤6x-2x+1if 0&lt;x&lt;3x2+1if -2≤x≤0

Q: Use the table below to find h'(-1) for h (x) = f (g (x)). I()9() lO() 1/2 0. -2 -3 1. -1 -1 -2 -2 -2…

A: Given that hx =fgxTo find : h'-1Solution hx =fgxh'x =f'gx×g'xx=-1h'-1 =f'g-1×g'-1h'-1 =f'-2×2h'-1…

Q: and g( x) = 7 − ( x − 3)^2 , a.) Solve for x: f ( x) = g( x) (Answers c

A: Inequality: a)f(x)=3x3-4x-3g(x)=7-(x-3)2f(x)=g(x)3x3-4x-3=7-(x-3)23x3+x2-10x-1=0The solution isx≈…

Q: Let f and g be functions that satisfy f'(2) = -6 and g'(2) = 9. Find h'(2) for each function h given…

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Q: Let g be the following function that gives the values of y in terms of the values of x.\\\\ g(x) =…

A: Given function, g(x) = 12 - 5x  a) The formula for average rate of change of a function g(x) on…

Q: Let f(x) = x=") – (x²)*, x > 0. %3D -

A: We are given f(x)=xxx-xxx, x&gt;0. As per the question,  we need to solve f(x)=xxx-xxx≤0,   x&gt;0.

Q: Consider the following. g(x) = 4e8.5x; h(x) = 4(8.5*) Find the derivative for f(x) = g(x) · h(x).…

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

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Q: Differentiate the function. g(x) = (x5 - 6x)-2 9'(x) = 2x + 4

A: To differentiate the following function.

Q: f(x) = (8x + 10)*, then find the second derivative, f" (x) =

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Q: suppose f(x)=1/x and f(g(2))=-1/3. find two possible equations for g(x). show how you know

A: Given that  and .The aim is to find the two possible equations for .

Q: g(x)=log,(5x4-3*). Find g'(x)

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Q: If f(x) =x² +1 and g(x) = 2x + 3, find all values of x where the derivative of fAg(x)) is equal to…

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Q: If f(x)f(x) is the slope of a trail at a distance xx miles from the start of the trail, what does…

A: If f(x) is the slope of a trail at a distance x miles from the start of the trail, what does…

Q: Find the derivative of the function. Simplify your answer as much as possible f(x) = e(4x*) + x

A: NOTE: Refresh your page if you can't see any equations. . take derivative