Find the points on the graph of f(x) = +o - ¤ – 1 where the slope is 2. O (1, 2/3) O (0,-1) and (-2, 7/3) O (1.-2/3) and (-3,2) O (1.2/3) and (3,2)

Q: 3) approximate the slope of the graph of f (z) = r at the point (1, 1). y 4 3 (1, 1) 2. 4 3 2.

A: The slope of a graph tells that by how much the value of y changes when the value of x changes by 1…

Q: ) Find a function ƒ such that f'(x)= x³ +3 and such that the line y+5x O is tangent to the graph of…

A: Given, f'(x) = x3+3  and the line  y +5x =0 is tangent to the graph of f   Let's assume the function…

Q: Find a function f that has the derivative f '(x) and whose graph passes through the given point.…

A:

Q: The horizontal asymptote of x + 5 f (x) = x2 is the line with equation O a y = 1 b y = 0 C X = 1 d.…

A: Given a function f(x)=x+5x2 To find the horizontal asymptote of f(x)

Q: Given the function f(x)=x^3+9x^2+19x+4, determine all coordinate points (x,y) on the graph of f such…

A: Differentiate the given function and equate to -5 and find coordinate points.

Q: The graph of the continuous function g, the derivative of the function f, is shown above. The…

A:

Q: What is the slope of the curve corresponding to the ff. function at the point (-3, 9/2) 1= 2²-₂ y O…

A:

Q: Find the slope of the secant line connecting the points on the graph f(x)=2h+4x-12, with the given…

A:

Q: B. Find and classify the extreme points of function f(x, y) x* +y-4xy-1.

A: Maxima minima of two variables function

Q: The following figure corresponds to the graph of the first derivative of the function f: (4, 0)…

A:

Q: Use the graph of y = f(x) to sketch the graph of its derivative f(x). y 20 16 12 하 4 -5 -4 -3 -2 -1…

A:

Q: Find the slope of the tngent line to the graph of the given function at the given Value of X.…

A:

Q: The graph of f(x) passes through the point (-1,4), The slope of the line tangent to the graph at the…

A: The slope of the tangent of the function at a point is given by the derivative of the function at…

Q: The function f is defined by f(x) = \25 – x² for -5 sx 5. (a) Find f'(x). (b) Write an equation for…

A: Given: fx=25-x2; x∈-5,5 we know that for finding derivative of given function, we differentiate…

Q: find the slope of the secant line between x=−1 and x=1 on the graph of the function…

A: Given that the secant line passes between the point x=-1 and x=1 on the function f(x)=-x3-3x2-2x+1.…

Q: Find the linearization L) of the function at a. f(x) = {, 8 = 125

A:

Q: Find k such that the line is tangent to the graph of the function.

A:

Q: Consider the following function, where R is the revenue (in thousands of dollars) and x is the…

A:

Q: Use a formula to express y as a function of t if y = 6x + 4x and x = t- 1.

A:

Q: For the below function, find the stationary point(s) and prove if a maximum, minimum, or a saddle…

A: The given function is fx,y=-x2+6xy+y2-10x-5y. Compute the first and second partial derivatives as…

Q: Suppose that a steel company views the production of its continuous caster as a continuous income…

A: Given data  Suppose that a steel company views the production of its continuous caster as a…

Q: Find the slope of the line tangent to h(x) = f(x)g(x) at x = 6, given that the line tangent to the…

A: We have to find

Q: Find the rate of change of the function at a given value. 1. f(x) = 2x – 3, at x = 5 2. f(x) = 2x² ,…

A:

Q: If (x1, f(x1)) and (x2, f(x2)) are distinct points on the graph of a function f, the average rate of…

A: If (x1, f(x1)) and (x2, f(x2)) are distinct points on the graph of a function f, the average rate of…

Q: 4. Determine the value of the constant k so that f(x) = e* (x + k) decreases on the intervals (- 0,…

A: we have to find value of k

Q: Find a function of the form y = Asin(kz) + C or y = A cos(kz) + C whose graph matches this one: -8…

A: The maximum point on the graph is at 3  . that is y intercept is at (0,3) When the maximum point is…

Q: Pls help on this question. ASAP

A: Given the function f(x) = -x2 + 5 We need to find slope of the secant of f(x) between x= -2 and x =…

Q: Find the slope of the graph of y = f(x) at the designated point. %3D f(x) = 2x - 7x +5; (3,2) The…

A: To find the slope of graph of y = f(x) at (3,2)

Q: For what value(s) of x does the function f(x)= 4x3-x2-2x+5 have a horizontal tangent line?  a.) x=…

A:

Q: Find the slope of the function f (x) = x 3 + 3x 2 + 3x + 1 at x = 0 1 0 3

A:

Q: Use the given graph of the function to answer the question. 2, X. -7 -6 -4 -3 -2 -1 1 2 3 4 -D1 -2…

A: Consider the graph of a function

Q: 6. Find k such that the line is tangent to the graph of the function f(x) = k/x and y = 2x + 18.

A:

Q: . Sketch the graph of the unit step function, denoted by U and defined by U (x) = {0 1 if if x<0 0sx

A: Ux =0x&lt;01x≥0 So this step function is equal to 0 when time t is negative and is equal to 1 when…

Q: Find the streamlines corresponding to: f(z) = z²

A:

Q: Let f(x) = 2x² 11a + 4 - The slope of the tangent line to the graph of f(x) at the point (2, 10) is…

A: This is a problem related to derivative of the function. Please follow the procedure given below.

Q: 2. State the equation of the line passing through the points (7,-1) and (2, 2). a. 5x +3y – 16 = 0…

A: Since you have posted multiple questions, we will only solve first three questions as per our…

Q: At any time t, the rate of growth of the population / of deer in a state park is proportional to the…

A: Solution of given question is written in below steps.

Q: C)Find the instantaneous slope of F(x)=xsquare-2x at x =1 over 3

A:

Q: Suppose g(-2)=3 and g'(-2)=-4. Let f(x) = x3 + g(x). Find the equation of the line tangent to y =…

A: Given,     f(x)=x3+g(x)

Q: -3. For the function f(x) = -5x - 3, find the slope of the tangent line at x =

A: We can find the slope in the following steps.

Q: Find the slope of the curve at the given point. 8y' + 5x° = 3y + 10x at (1,1) The slope of the curve…

A:

Q: if i have the function how would i use FTC(1) and the chain rule to find g'(x)

A:

Q: Given the graph of a function y = f(x) below, select the representation that best corresponds to the…

A: Given y = f(x) so dy'dx = f'(x)

Q: Suppose that f is a linear function with slope 4 and that f(2) = 7. Find the equation for f with…

A:

Q: 2) For over 20 years, the population of Tressel, Ohio has been increasing linearly according tothe…

A:

Q: B. Find and classify the extreme points of function f(x, y) = x + y - 4xy-1.

A:

Q: Find k so that the function f(x) = x² + kx will be tangent to the line y = 2x-9

A: Here, the given function is: f(x)=y=x2+kx...(1) And also given that the tangent line to the given…

Q: For the function f(z) = ¹, the point z 1-e Z = 0 is

A:

Q: Find the linear approximation of the function below at x = -1 and use it to approximate f(-0.8). -7x…

A:

Q: 2. f(x) = 6x - 1 slope: of f = of g y-intercept: of f= of g=

A:

Rate of Change

The relation between two quantities which displays how much greater one quantity is than another is called ratio.

Slope

The change in the vertical distances is known as the rise and the change in the horizontal distances is known as the run. So, the rise divided by run is nothing but a slope value. It is calculated with simple algebraic equations as: