Use the derivative f' to determine the local minima and maxima of fand the intervals of increase and decrease. Sketch a possible graph of f (f is not unique). 4x 4x rw - 24 sin 3x on - The local minimum/minima islare at x=O (Use a comma to separate answers as needed. Type an exact answer, using z as needed.) The local maximum/maxima islare at x=O (Use a comma to separate answers as needed. Type an exact answer, using z as needed.) Find the intervals of increase and decrease of f. Choose the correct answer below. lis increasing on (--). (--9. (05) • 2x and 2x 3 2x 4x fis decreasing on-R, and 4x fis decreasing on -.-) (--3)- (•5). and ). fis increasing on-R, - 4x ,and R, Sketch a possible graph of f. Choose the correct graph below. OA. B. Oc.

Q: Let f(x) tangent line to the graph of f(x) at the point (0, 0) is = 6x + 15 – 15e". Then the…

A: The given curve is: f(x)=6x+15-15ex

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Q: 38. y = cscx – 2 sin x, 0 <x< T %3|

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A: Slope of the secant line is,

Q: Use linear approximation, i.e. the tangent line, to approximate 0.252 as follows:

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Q: Find the equation of the tangent Iline for the function f(x) = at the point x = 1. Write in the form…

A: The objective is to find the equation of the tangent line for the function f(x)=2xx2+1 at the point…

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Q: For what values of x in [0,2pi] does the graph of f(x)= x + 2sin(x) have a horizontal tangent?

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Q: f(x) = cosec-1 3x + tan-1 2x %3D

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Q: Find all x-values where the function f (x) 13 -x + 13sinx has a horizontal tangent line. Select all…

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Q: Find the point(s) on the graph of f where the tangent line is horizontal. (If an answer does not…

A: Given f(x) = xx2+81Since slope of tangent at any point on curve is given by derivative of f(x) at…

Q: Use linear approximation, i.e. the tangent line, to approximate 1/0.204 as follows: Let f(x)=1/x and…

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Q: 2) Find the point(s) at which the graph of f (x) = has a horizontal tangent. x2+1 %3D

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Q: Suppose an equation of the tangent line to the curve y = f(x) at the point where a = 4 is y = 8x –…

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Q: Consider the function f(x)=8x-x2 and the point P (2,12) on the graph of f. Estimate the slope of the…

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Q: Use the second derivative test to find the values of x where f(x) has local maximum or local minimum…

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Q: 7. Use the limit definition of the derivative to find f'(r). Then find the equation of the tangent…

A: Solution is given below:

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Q: Find the slope of the tangent line of the function using the given x-value. 7. f(x) = (x² + 4x)(3x²…

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Q: b. Use the Second Derivative Test to find all local minima and local maxima for g(x).

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Q: Find the x-value(s) at which the tangent line to the curve y=(6x+1)/(ex) is horizontal. If there are…

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Q: iven that the graph of f passes through the point (1,6) and that the slope of its tangent line at  (…

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Q: Compute f '(x) and find an equation of the tangent line to the graph at x = a.

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Q: Let f(x) = 4x + 10 – 19e". Then the equation of the tangent line to the graph of f(x) at the point…

A: Let fx=4x+10-19ex. Then the equation of the tangent line to the graph of fx at the point 0, -9 is…

Q: consider the fro lloning function x4-2x² A tind he inflechon points of gex) b) Find up and oncave…

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Q: Find the point(s) on the graph of f where the tangent line is horizontal. (If an answer does not…

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A: Given:The function f(x) = 3(8x−2)4.The point (2, f(2)).

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Q: 8. Find the tangent to the Witch of Agnesi, f(x) = at the point (2, 1) x²+4

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A: Given:  A function f ( x ) = 5 cos3x + 3  To Find:  Local maxima occur at x                Local…

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Estimation

A new framework of data analysis where the new statistical methods are used for interpreting the results and analyzing the data is known as estimation in statistics.