1. Determine the critical points (maxima, minima, and point of inflection) of the function y = x(x - 6)².

Q: 12. For the function f(x) = x² + 10x + 7, x ER, find any global maxima or minima points

A: If y=f(x), then the independent variable x is called the input of the function and the dependent…

Q: 8. Determine the intervals where the function is increasing or decreasing. Find the local maxima and…

A: First derivative test

Q: 7. For function f (x) = 2x2 – 5/2x + 3. a. Find x_intercept. b. Find y_intercept. c. Find axis of f…

A: As per our guideline we are supposed to answer first three subparts.kindly repost other question.…

Q: Find the intervals of increasing/decreasing of the function and also find the local maxima and local…

A:

Q: 3. Use the first derivative test to determine all local minima and maxima for the following function…

A: Given f(x)=4x3-9x2-30x+6

Q: 4. Determine the critical points of the function: f (x) 5.xeº-2x %3D Enter your answer

A: Solution

Q: 1. Make two separate plots of the function f(x)=0.6x-5x +9x+2; one plot for -4 sxS4, and one for…

A: The given function is fx=0.6x5-5x3+9x+2.

Q: Find the slope of the graph of the function x2+y2=xy+1/4 at (1/2 , 1/2)

A: Given function is Differentiating both sides with respect to x, we get

Q: Find the relative maxima and minima of y by the second-derivate test: y= 2x/(1-2x) (x is not 1/2)

A:

Q: 15. Identify y-intercept for f(x) = 2(x² −5) + 4.

A: We have to find the y-intercept.

Q: Find the domain of the following functions: 6. a. f(x)=3x*-7x +x-3 7x b. g(x)= х-4 %3D 7x h(x)3D…

A: The given functions are –