What is the range of the rational function f(x) = 1/x?

Q: Use the first derivative test to find the location of all local extrema for .3 f(x) = +4x*+7х— 5 3

A: For extreme values we find critical points by putting f'(x)=0

Q: Find the indicated derivative. 5x2 f'(x) for f(x) = %3D 9x - 4 f'(x) =|

A: We are solving the problem by The by parts rule of derivative.

Q: use the definition of derivative to find f prime (x). f(x)= 3(2x-1)^3

A: Given function is fx=32x-13. To find the derivative of the function using definition of derivative.…

Q: USE THE SECOND DERIVATIVE TEST To FIND LOCAL EXTREMA OF THE FUNCTION. F(x)= -x³ +12x² -5ON R.

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Q: Find the intervals where the function f(x) = 1 + 2x – x2  is increasing and where is decreasing.

A: NOTE: Refresh your page if you can't see any equations. . here we have an equation of a parabola…

Q: Find the points of inflection given the function: Given the function f(x) = 2x³+ 3x²-12x-9 Where…

A: For the inflection point, second derivative is equal to zero.

Q: What is the derivative of f(x) = 8x-4 with respect to x?

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Q: Find the third derivative of the giyen function. (Simplify your answer completely.) f(x) = 5x5 - 6x…

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Q: -Find the range of the function y = 2 - sin3x

A: Introduction :

Q: The degree of the derivative of f(x) = (3–x)'(x – 12)° is

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Q: Find the absolute extrema of the function on the closed interval.

A: Find the derivative for g(x).…

Q: f (x) = 3 · 5" + e 4x²+7¤

A: We have to find derivative

Q: The graph of f(x) passes through the point (-1,4), The slope of the line tangent to the graph at the…

A: The slope of the tangent of the function at a point is given by the derivative of the function at…

Q: Find the absolute extrema of the function on the closed interval. 5x f(x) [-5, 5] x2 + 16

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Q: For the function f(x) = |x2 − 4|, find the critical points, test them to find extreme values. Which…

A: According to the given information, it is required to determine the extreme values of the function.

Q: Find f′(x) and find the equation of the line tangent to the graph of f at the indicated value of x.…

A: Given a function 'f' of x and find its first derivative . And also find at x=1 tengent line equation…

Q: Differentiate. f(x) = - 2 e -X t'(x) = ]

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Q: 4. Find the absolute extrema for the function f(x)= on the interval -5 ≤x≤0.

A: To find the absolute extrema of the given function in the interval [-5,0].

Q: Find the average rate of change of f(x) 7x-8 on the interval 1, a. Your answer will be an expression…

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Q: solve the derivative f(x) = e^3x / 1-x^3

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Q: Write cosh(ln(x)) as a rational function of x.

A: Cos h (lnx)We knowCos h (a) = ea+e-qzsoCos h (ln x ) = elnx+ e-lnx2                       = x+1x2…

Q: Consider f(x) = 3X. What is the best approximation for f'(2)?

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Q: Find the absolute extrema of the function on the closed interval.

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Q: Find the average rate of change of f(x)=2x^2−3 on the interval [3,a] Your answer will be an…

A: We have the given function as f(x)=2x2−3   We have to find the average rate of change of f(x) on…

Q: The tangent line to the graph of f(x)= 5-x+e^(x-1) is horizontal at what  point?

A: Calculus Question

Q: is y=s/(1+s)  a rational function? If not, what type of function is it?

A: Given function,  y = s/(1 + s)  To find whether it is a rational function or not.

Q: Find f' (x) using the rules for finding derivatives 4x2 – 7x +1 f(x): 2x + 9 f'(x)=O

A: To find The derivative of f(x)

Q: What is the inflection point of the function f(x) = x5 ln(x)?

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Q: How would you find f '(x) baased on knowing f(x)= (4 tan x)/x?

A: Given function is f(x) = (4tanx)/x. Differentiate with respect to x as follows.

Q: For the f(x) = 1/1-X^2 and g(x)= x^2/1-X^2 A) shows that these functions have the derivative B) what…

A: We need to find relation between f and g.

Q: The graph of f(x)=2x^3+6x^2−144x+6 has two horizontal tangents. what are the positive and negative…

A: See the details solution in below

Q: Calculate the slope, m, of the tangent line to the rational function f at x = 10. %3D f(x) = %3D x -…

A: Given: The tangent line to the rational function f at x=10 We have to calculate the slope.

Q: Graph the tangent line to the function f(x)=3x^2+4x−4 at the point where x=−1. Place point A at the…

A: Given curve

Q: If f(x)=(4x)^(ln x) how would you find f'(3)?

A: Obtain the derivative of the function as follows.

Q: write cosh(4 ln x) as a rational function of x

A: To solve the given problem apply the following formula

Q: True or False The graph of the function f(x) = x2 is increasing on the interval [0, ∞ ].

A: The statement: The graph of the function f(x) = x2 is increasing on the interval [0, ∞ ].

Q: Find the f derivative of x given f(x)=(3x)^-1

A: Calculation:Compute the derivative of f(x) = (3x)−1 as follows.

Q: How do you find the domain and range for f(x,y) = ln(x+y)?

A: The given function:

Q: What is the derivative of f (x) = 6x¯² + 8x³ + 11x + 10 + e"?

A: Given that: f(x)=6x-2+8x3+11x+10+ex

Q: What are the domain and range of f (x) = ln x?

A: Given function:   Domain: The domain of a function is the set of  input  values for which the…

Q: Find the second derivative of the function f(x) = 8/(x − 2)2

A: Find the second derivative of the function f(x) = 8/(x − 2)2

Q: Find the average rate of change of f(x)=2x^2-6 on the interval [3,a] Your answer will be an…

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Q: sketch the following rational functions by determining all critical values. f(x)=3x2-x3/x2-9

A: The given function is f(x) = 3x2-x3x2-9,This function is not defined at x = -3, x = 3.We try and…

Q: Find the equation of the line tangent to the graph of f(x)= x2 over (3x-4)3 at the point…

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Q: Make a sign diagram for the derivative of the rational function. 6 f(x) = x + 3 f'(x) < 0 undefined…

A: Given function, fx=6x+3

Q: Find an approximation that is accurate to three decimal places to the zero of f (x) = x³ -3x- 1 in…

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Q: Use the second derivative test to find the extreme values of the function f(x) = 49x + 1. Answer:

A: Second Derivative Test for Local Extrema The second derivative may be used to determine local…

Q: Find the higher order derivative. f"(x) = 4x2 + 9x – 16 - f(5)(x) = %3D

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