1. 2. Find f'(x) and f"(x). Determine the following Domain a. b. x and y intercepts t. The critical points A operties of the graph of f.

Q: 8. State the location of the x intercepts of the function y = sinx and the vertical asymptotes of…

A: We need to determine the x-intercepts of the function y=sin x and vertical asymptotes of the…

Q: Find a function f (x, y) that has the line y = 3x - 4 as a level curve.

A: A function is a relation which maps each value in its domain to exactly one value in its range. A…

Q: -22 - x2, find f(x), f(x), f(x), and f(4)(x). " (x) 70 = aph f, f', f", and f" on a common screen. y…

A: Given query is to find indicated derivatives.

Q: Find the inflection point of the curve f(x)=2x³ – 18x²+ 30x. О а.3 O b. 3/2 С. 9 O d. None

A: We have to find out point of inflection

Q: Q1) Find the Derivative to the function and find local minimum and local maximum points y = 3x? - 3

A: y=3x2-3 We need to find the derivative of the function and to find the local minimum and local…

Q: 4. Using the first derivative test to find the location of the local maxima of the following…

A: Given function is  f(x)= x^3 -3x^2 -9x-1

Q: The level curves of the function f (x, y) = /2x² + y² – 1 are

A: Explanation of the answer is as follows

Q: 3. Find the points (x,y) of the function f(x) = -x³ + 12x² - 5 where the tangent is horizontal AND…

A:

Q: 11) Find each of the two areas bounded by the curves y=x3-4x and y=x² + 2x Points of intersection:…

A:

Q: 6) Use derivatives to find where the function is concave up f(x)=x.e2x*

A: If  f "(x) > 0  on an interval, then f(x) is concave up on that interval.

Q: x² -16 For the function f (x) = x² -9 find the following

A:

Q: Function Point 53. y = x4 – 3x² + 2 (1, 0) 54. y = x³ + x (-1, – 2)

A: Solution Giveny=x4-3x2+2        (1,0)y=x3+x                  (-1,-2) We need to find the equation of…

Q: Find the stationary points of the function f(r) = 3rª – 2rº. Apply the Second Derivative Test to…

A: Given function is fx=3x4-2x6. Stationary point is the point where first derivative of the function…

Q: Q3: Find equations of all lines having slope (-1) that are tangent to the curve y = 1/(1-x)

A: Determine the derivative for function y in terms of y and x. The derivative y' is equal to slope m.…

Q: 11. The point (9, 16- A. (3,4)

A: y=f(x)after transformation y=f(x)(x,y)→(x , y)(9,16)→(9 , 16)=(9,4)

Q: derivative for this question. I gave the easy function. a) Domain of f(x) is b) Find the…

A:

Q: 4. Find the slope of the given function y3 = 4x with points (1, 2) using long method. Plot the curve

A: The solution are next step

Q: 4. Consider the graph of a polynomial function below. 2 1 -2 -1 2 4 x -1 -2 a) State the domain and…

A: As you post multiple questions According to guidelines I only solve the first one .

Q: Consider the function -3 f(x)=√1+z² (a) Find the linearization of the function f near z = 0. In…

A: Consider the function near (a) The linearization of a function is given by In our case, Evaluating…

Q: 32. (Refer to the graph of f below) On which interval is f concave upward? y4 y= f(x) -2 6 x 8 -2…

A: The solution are next step