The following are related to this scenario: Let f be a function with f(2) = -8 such that for all points (x,y) on the graph of f, the slope given by 3x2 1. Write an equation of the line tangent to the graph of f at the point where x=2 and use it to approximate A1.8).

Q: Given the function f(x) = x³ - 3x2 x – 1, determine all coordinate points (x, y) on the graph of f…

A: The derivative of the function will give the value of slope. For two value of x, f(x) will have…

Q: Given that f(7) = 9 and f'(7) = -3, find an equation of the tangent line to the graph of y = f(x) at…

A: Given that f(7) = 9 and f'(7) = -3. Here, the points x,y=7,9 and the slope is m= - 3. Note that, the…

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: Suppose f is a function where the line tangent to it at x = 3 is given by y = 5x + 2. Find the…

A: Given information: y=5x+2,  Find the value of f(3) and f'(3)

Q: Consider the following function h(x) = -3r – 5x* + 20z³ + 60x. Find the point on the graph of h(x)…

A:

Q: Given that the graph of f(x) passes through the point (9, 6), and that the slope of tangent line to…

A: First calculate f(x) then use (9,6) to find the constant in f(x). Then find f(5).

Q: Suppose that f is a function given as f(x)=x3+bx2+cx−4 Find the exact values of b and c if we know…

A: Given: fx=x3+bx2+cx-4   and tangent line y=36x+68

Q: Given that the graph of f passes through the point (1, -5) and that the slope of its tangent line at…

A: Given:     The slope of the tangent at  (x,f(x)) is 2x+1                   f'(x)=2x+1    We know…

Q: Suppose the slope of the curve y = f'(x) at (4, 7) is §. Find f'(7).

A: Given slope of the curve y=f-1(x) at (4,7) is 45

Q: Given that the graph of f passes through the point (1, 4) and that the slope of its tangent line at…

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) and a line tangent to the curve at x = 4 are shown. If g(x) = f(x), evaluate…

A: Given graph is as follows where the red graph shows f(x)  and a line tangent to the curve at x=4.…

Q: Find an equation for the line tangent to the graph of f(x)=−7xe^x at the point (a,f(a)) for a=2.

A: Given:

Q: The line tangent to the graph of ƒ

A: formula used: The equation of the tangent line at (x1, y1) is y-y1=m(x-x1) where m is the slope of…

Q: Find an equation of the line that is tangent to the graph of f for the given value of x. 1)…

A:

Q: For what values of æ does the function f (x) = 12x – æ³ have a horizontal tangent line? Select all…

A: The given function is fx=12x-x3

Q: Find a function f such that  f '(x) = 5x3  and the line  135x + y = 0  is tangent to the graph of…

A: Consider the given derivative function f'x=5x3

Q: In the given question , find all functions f having the indicated property? The tangent to the graph…

A: Explanation: Given a function f(x) and point of tangency (x,y). Also given that, the tangent line…

Q: Given function f, find the slope of the tangent line to the graph of f^-1 at the specified point on…

A: The given function is

Q: Find the equation of the line tangent to the graph of f at the indicated value of x. f(x) = Inx?;…

A:

Q: Given the function f, find the slope of the line tangent to the graph of f -1 at the specified point…

A: Given, The function is f(x)=(x+2)2 and the point on the graph of f-1(x) is (36,4).

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: Given the function f, find the slope of the line tangent to the graph of f -1 at the specified point…

A: Find the slope of the line tangent to the graph of f -1 at the specified point on the graph of f -1.

Q: Given that the graph of f passes through the point (2, 8) and that the slope of its tangent line at…

A:

Q: Given that the graph of f(x) passes through the point (7, 3) and that the slope of its tangent line…

A:

Q: e. Find the point(s) on the graph of f(x)= 5x³(4x² – 60) that have horizontal tangent lines. |

A: Any function have horizontal tangent line at points where derivative is zero

Q: For what values of x does the graph of f(x) = x3 + 3x 2 + x + 3 have a horizontal tangent?

A: the given function is: fx=x3+3x2+x+3 we have to determine for what values of x does the graph of…

Q: If f is a one-to-one function with f(2) = 8 and f'(2) = 6, find the equation of the line tangent to…

A: Give f(2)=8 ,f'(2)=6  Using this we can derivative of find f^(-1) and then we will find equation of…

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: Find f'(x) and find the equation of the line tangent to the graph of f at the indicated value of x.…

A:

Q: Find the y-intercept of the line tangent to the graph of f(x) = 4/æ at x = 9. O 4 Answer not listed…

A: Slope of tangent is obtained by differentiating the function f(x).

Q: Find all the values of x where the graph of f(x) = 2x – 24x2 + 72 - 1 has a horizontal tangent line.…

A:

Q: Given that the graph of f passes through the point (1, -5) and that the slope of its tangent line at…

A:

Q: Given that the graph of f passes through the point (1,5) and that the slope of its tangent at ( x,…

A: Given :Graph of f(x) passes through the point (1,5). Hence (1,5) is a point on the graph.Let x1=1…

Q: If f is a one-to-one function with f(3) = 5 and f'(3) = 2, find the equation of the line tangent to…

A: To find tangent line.

Q: Given the function f(x) = (x² – 4)(x² + 4), the number of horizontal tangents of f is

A:

Q: Determine an equation for the line tangent to the graph of the given function at the indicated point…

A:

Q: Given that the graph of f passes through the point (1, -2) and that the slope of its tangent line at…

A:

Q: 8. Given the function f(x)%=2x3 -5x3 , find the point where the tangent is horizontal to the curve.

A:

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

A: Solve by equation of line in slope form

Q: Given that the graph of f passes through the point (1, 7) and that the slope of its tangent line at…

A: As per guidelines we have to solve only one

Q: Given f"(x) = x(2x-3), find f(x) if the point (2,7) is on the curve y=f(x) and the slope of the…

A: Simplify f''(x):f''(x)=2x2-3x

Q: Find the slope of the line tangent to the graph of the function at the given value of x. y = x4 + 2x…

A: Given : y = x4+2x3+2x-2

Q: Find all the values of x where the graph of f(x) = 2x³-36x2 + 192x 9 has a horizontal tangent line.…

A: topic - derivative of a function and point of horizontal tangent line

Q: Find the equation of the tangent line to the graph of the function f(2)=√1026 +26 at the point…

A:

Q: Write the equation of the line tangent to the graph of f (x) = -3x² + 5x + 1 at x = 1 and use it to…

A: We have to find the tangent line equation and also we have to approximate f(1.2).

Q: The equation of the tangent line for the function f(x) = -8 – 5x at a = 8 is %3D y = -5(x + 8) + 48…

A: Given that      f(x) = -8 -5x at x = 8 We have to find the equation of the tangent line for the…

Q: Find a function f such that f '(x) = 5x3 and the line 40x + y = 0 is tangent to the graph of f. f(x)…

A:

Q: Consider the following function h(x) = -3r- 5x + 20a+ 60z. (a) point where the tangent line of h(x)…

A: Given function is hx=-3x5-5x4+20x3+60x

Q: For the function f(x) 5x³ – 8x² + 8, , Step 1 of 2: Find the slope of the tangent line at x = 1.

A:

Estimation

A new framework of data analysis where the new statistical methods are used for interpreting the results and analyzing the data is known as estimation in statistics.