Use the first derivative test to determine the location of each local extremum and the value...

Use the first derivative test to determine the location of each local extremum and the value of the function at this extremum.

f(x)=4xe^-4x

1. The function has a local maximum of __at x=___.

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milcah answered 2 years ago

Use the First Derivative Test to find the exact location of all the relative extrema of...

Use the First Derivative Test to find the exact location of all the relative extrema of the given function. 1. f(t) = t^3-3t^2, Domain [-1, +infinity) 2. f(x) = 3x^4-2x^3, Domain [1, +infinity) 3. f(x) = (x+1)^2/5. Domain [-2,0) 4. f(x) = √ x(x-1), Domain [0, infinity)

Use the derivative f' to determine the local minima and maxima of f and the intervals...

Use the derivative f' to determine the local minima and maxima of f and the intervals of increase and decrease. Sketch a possible graph of f (f is not unique). f'(x)=30sin3x on [-4pi/3, 4pi/3]

Use the First Derivative Test to find the relative extrema of the function, if they exist....

Use the First Derivative Test to find the relative extrema of the function, if they exist. 16. f(x) = x^4 - 18x^2 + 8

Find the local maximum and minimum values of f using the First Derivative Test. f(x) =...

Find the local maximum and minimum values of f using the First Derivative Test. f(x) = x2 x − 2 local maximum value local minimum value

1. Solve the following below A) Use the second derivative test to find all the local...

1. Solve the following below A) Use the second derivative test to find all the local maxima, local minima and saddle points of f(x,y)=x^2 +xy+y^2 +y B) Find the absolute minimum and maximum values of f (x, y) = x^2 + y^2 − 2x on the closed triangular region with vertices (2, 0), (0, 2) and (0, −2). [First find interior critical points, then critical points on the boundary, i.e. on each edge of the triangle. Finally, include the vertices...

f(x)=x^4-24x^2 Determine the intervals of increase and decrease for f (x) Use the First Derivative Test...

f(x)=x^4-24x^2 Determine the intervals of increase and decrease for f (x) Use the First Derivative Test to find all local maxima and minima for f (x) . Determine the intervals where f (x) is concave up and concave down Find any inflection points of f (x) . Please show the work

For the following exercises, use the definition of derivative to calculate the derivative of each function. f(x) = 5π

For the following exercises, use the definition of derivative to calculate the derivative of each function.f(x) = 5π

The rule of the derivative of a function f is given. Find the location of all...

The rule of the derivative of a function f is given. Find the location of all local extrema. f'(x) = (x2- 1)(x - 2) Group of answer choices Local maxima at -1 and 2; local minimum at 1 Local maximum at 1; local minima at -1 and 2 Local maximum at -1; local minima at -2 and 1 Local maximum at 2 - ; local minimum at 2 +

Find the relative extrema, if any, of the function. Use the second derivative test, if applicable....

Find the relative extrema, if any, of the function. Use the second derivative test, if applicable. (If an answer does not exist, enter DNE.) g(x)=x^3-6x relative maximum (x, y) = ( , ) relative minimum (x, y) = ( , )

P-value calculations. 1. A) Use a t-test of comparative pairs to determine whether there is a...

P-value calculations. 1. A) Use a t-test of comparative pairs to determine whether there is a statistically significant difference in the number of rat discoveries observed before and after a major disposal operation in nine areas. Calculate p-value. Area Rat discovery before Rat discovery after Area 1 35 23 Area 2 51 55 Area 3 78 60 Area 4 24 20 Area 5 19 22 Area 6 33 31 Area 7 90 78 Area 8 26 23 Area 9 43...

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