4Vx 57. Finding slope locations Let f(x) X. a. Find all points on the graph of f at which the tangent line is horizontal. b. Find all points on the graph of f at which the tangent line has 1 slope 2

Q: decimal

A: Given function is f(x) = 10ln(x)                               y = 10ln(x)           (1)  Put x =…

Q: 1 Let f(x)= 4x² + 2 An equation of the line L tangent to the graph of f at the point ( ,) is (fill…

A: Given: ------------------------------------------------------------------------------ To find: An…

Q: Given f(x) =x- 2x, (A) Find f'(x), (B) Find the slopes of the lines tangent to the graph of f at x=…

A: f(x)=x2-2x a) f'(x)=2x-2

Q: Find f'(x) and find the equation of the line tangent to the graph of f at x = 2. X-4 8x-7 f(x) =…

A: We can solve this as follows:

Q: Let f(x) = x'. Find the slope of the line through the points on the curve y = f(x) where x = -2 and…

A: Let fx=x3. We have to find the slope of the line through the points on the curve y=f(x) where x1=-2…

Q: a. Find all points on the graph of f(x) at which the tangent line is horizontal. b. Find all points…

A:

Q: If g(x) is the f(x) 1 a shift right by 3, and a shift down by 1, = x after a vertical compression by…

A:

Q: 5. a) Find h (x) if h(x) = -cscx + secx. b) What is the slope at x = 6.

A:

Q: -x' +2 Find the slope of the secant line between x = -3 andx = 3 for the function f(x) = (Enter your…

A: Explanation of the answer is as follows

Q: 3; the slope of the secant line through the points (2, 7) and (0, 1) on the graph of f (x)

A:

Q: Suppose an equation of the tangent line to the curve y = f(x) at the point where a = 5 is y = 9x –…

A:

Q: f(x)=125x/25x+5. Find the x values where the graph of the function has a horizontal tangent line.

A:

Q: - 2x – 1 Find the slope of f (x) = at (9, –0.79). Use a graphing utility and round to the nearest…

A: Given function is as below:

Q: Find f′(x) for f(x) = √x. Then find the slopes of the graph of f at the points      (1, 1) and (4,…

A: We use the power rule

Q: Find an equation of a line that is tangent to the graph of f and parallel to the given line

A: We will find the equation of the line.

Q: If g(x)is the f(x)= x after a vertical compression by 2/3, a shift right by 4, and a shift down by…

A: Given that g(x)is the f(x)= x after a vertical compression by 2/3, a shift right by 4, and a shift…

Q: Use the graph below to find the slope of the function at x = 2. Which line is the secant line? Which…

A:

Q: Find the point on the graph of the given function at which the slope of the tangent line is the…

A:

Q: The function f is given by f(x) =-2 – ;e™.What is the equation of the line tangent to the graph of f…

A:

Q: Bonus) Find the equation of the secant line that passes through f(x) = -(x + 2)² at (2, f(2)) and…

A:

Q: 2. Consider the function f(x) = 1/x. a) Find the slope of the secant line crossing the graph of f…

A: a) Given:       Function fx=1x where x=3 and x=4    Slope of secant line crossing the graph is…

Q: Consider the functionf(x) = x3 + 3and the point(1, 4).(a) Find the slope of the tangent to the graph…

A: Given the function f(x) = x3+3 and a point (1,4).The slope of the tangent to the graph of f(x) at…

Q: ах? + с, x < -2 a) Given f(x) = }bx + 8, - 2<x < 3, determine the values of a, b, and c if: -2c, x2…

A:

Q: (!..m) Let f(x) = 40 – x² The slope of the tangent line to the graph of f(x) — х2 - at the point…

A:

Q: Find the slope in the x-direction at the point P(0, 2, f(0, 2)) on the graph of f when f (x, y) 3(y?…

A:

Q: 4x + 2 Find the slope of f (x) at (7, 1.42). Use a graphing utility and round to the nearest…

A:

Q: Find the point on the graph of the given function at which the slope of the tangent line is the…

A:

Q: Find the coordinates of points where the graph of f(x) = x* - 4x + 1 has horizontal tangents. As a…

A:

Q: Use the four-step process to find the slope of the tangent line to the graph of the given function…

A: Topic = Functions

Q: The graph of f(x) passes through the point (0, 6). The slope of f at any point P is 5 times the…

A: Given:   Graph passes through point ( 0 , 6)    Slope = 5*y1 = 5(6)  = 30

Q: d the slope of the secant line to the graph of f(x) = 6x - 2 from 2 to 19. If necessary, round the…

A:

Q: 1. For a given function f(x) = -2x + 6 a)slope is: b)x-intercept is: 0) C)y-intercept is: (0,

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: Determine the parameter changes for f(x) to g What is the domain and range? What is the x and y…

A: We are given f(x)=x. Domain: [0, ∞), Range: [0, ∞). Shifting the function to right side by 1 unit we…

Q: Find all x-values where the graph of f(x)= x3 - 27x has horizontal tangents.

A: Given,          The graph of fx=x3-27x has horizontal tangents.

Q: f(x)=-7x^3+3x^2-9 Find f'x finding the slope using d/dx

A:

Q: If g(x) is the f(x)=x after a vertical compression by 4/5, a shift right by 3, and a shift down by…

A: As we know that the graphical transformation. fx→afx, the graph compresses by ''a'' units along the…

Q: If (x) = x + and g(x) = f(x), find the slope of the curve g(x) = f-(x)at the point(2, 1). 1 %3D

A:

Q: What can you say about the tangent line to the graph of f(x) = V+ 2- 3 at = -2? O There is no…

A:

Q: The slope f^1(x) at each point (x,y) on a curve y=f(x) is given, along with a particular point (a,b)…

A: Finding  function  from its derivative

Q: Use the four-step process to find the slope of the tangent line to the graph of the given function…

A: The function is given by fx = 2x2+9x To evaluate : The slope of the tangent line to the graph of the…

Q: Let f be the linear function  f(x) = −2x + 6. (a) The rate of change of f is _____ . (b) The graph…

A:

Q: TAILS LARAPCALC10 5.1.040. 0/2 Submissions Used graph of the derivative of a function is given. y

A: Given that: Graph of derivative of a function

Q: Find an equation of the tangent line to the graph of f at the point (2, f(2)). (x) = (16 – 6x²)-2/3…

A:

Q: Use the four-step process to find the slope of the tangent line to the graph of the given function…

A: This is the definition of  derivative of a function.

Q: Find the function f given that the slope of the tangent line at any point (x, f(x)) is f'(x) and…

A:

Q: -x' + 2 Find the slope of the secant line between x = -3 and x = 3 for the function f(x) = (Enter…

A: Given that a function f(x)= (-x3+2)/(2x-2). And we find secant slope of line between x=-3 and x=3…

Q: Compute f'(x). f(x)= 8x^-3    ,  a=5   f'(x)=____________ Find an equation of the tangent line…

A: We have: f(x) = 8x-3 We need to calculate the value of f'(x) using the formula: xn = nxn-1  Thus,…

Q: Given x = |y| − 4 a.Determine the x and y-intercepts of the graph of the equation. b. Does the…

A: Given,x = |y| − 4 …(1)