Numerically estimate the slope of the line tangent to the graph of the function fat the given input value. Show the numerical estimation table with four estimates. (Round your answers for x) to six decimal places. Round your answers for the slope of the secant to four decimal places. Estimate f(1) to the nearest hundredth.) Fx) =2xx 1 F(1) - Flx) 1) - fx) 1- x Slope of secant Fx) F(x) Slope of secant x1 x1 1 2.098 9999 0.99 1.01 0.999 1.001 0.9999 1.0001 f'(1)1

Q: Estimate f(4.03) for f(x) as in Figure 8. y= f(x), (10, 4) Tangent line (4, 2) FIGURE 8

A:

Q: 3. Determine the slope of the tangent at x = -1 on the graph f(x) = (5x² + 1)3.

A:

Q: Find equations of the two tangent lines to the graph of f(x) = 2x2 that pass through the point (-1,…

A: Here, the given curve is: f(x)=2x2 To find two tangent lines that pass through (-1,-6)

Q: The function f(x) is defined by f(x) =2. What points (x, y) on the graph of f(x) have the property…

A:

Q: Estimate the slope (slope = rise/run) of the tangent line to the curve. Ау 10- 9- 8 7 6 5 4 4 -1 0 I…

A: Here is the solution.

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

A:

Q: Estimate the slope of the tangent line at the point t= -2 for f(t) = 6t-3 (Give answer as a…

A: The given function is f(t)=6t-3 at t=-2

Q: The slope of the tangent line to the graph of the function y = 9/T – 4 at (16, 32) is O 1.75 O 4…

A: The given function is: y=9x-4 Now, slope of the tangent is given by dydx=92x-0=92x

Q: Find equations of the two tangent lines to the graph of f that pass through the indicated point.

A: Given, f(x)=4x-x2…

Q: Find the equation of the tangent line to the graph of the function f(x)=(x2+7)(x−2)fx=x2+7x−2 at the…

A:

Q: Find equations of the two tangent lines to the graph of f(x) = x2 that pass through the point (-1,…

A: Topic - tangent lines to curve passing through Given point outside curve

Q: Find the slope of the line tangent to the graph of f(x) = 4 - xatx = 2. Provide your answer below: m…

A:

Q: 2. Estimate the slope of Ix) at the point: a) where x = 3 b) where x = 2 YA fx) 4 3 2 1 2 3 4 5 6 1.

A:

Q: 2. Find the points on the graph of f(x) =- where the tangent line is horizontal. x2+2

A: Given f(x)=xx2+2we want to find the point on curve where tangent is horizontal

Q: Find the equations of the two tangent lines to the graph of f that pass through the indicated point.…

A:

Q: -2, find an If g(x) = xf(x), where f(3) = 4 and f'(3) equation of the tangent line to the graph of g…

A: Consider the given function gx=xfx

Q: For which value(s) of x does f(x)=4x2+5x+17 have a tangent line of slope 4?If there is more than one…

A: f(x)=4x2+5x+17 Slope of the tangent is given by dy / dx = f'(x)So, we will have to differentiate the…

Q: Let f(z) = VII - z The slope of the tangent line to the graph of f(=) at the point (7, 2) is The…

A:

Q: 8. Find the values of x where the tangent line is horizontal. f(x) = x³ + 3x² – 12

A:

Q: Supposo that f CK th)-f(x)- -2h (x+2) -h? h(Xth +2)? (x+2)? Find the slope of the tangent line at…

A:

Q: The slope of the tangent line to the graph of the function y = 7Vx – 3 at (9, 18) is - O 3 - 2.00 O…

A: Simply take the derivative of the function at that point.

Q: The slope of the tangent line to the graph of the function y = 9/x – 7 at (49, 56) is . O -1.14 O…

A: Given,  The function  y = 9x - 7   We have to find the slope of the tangent line at 49, 56.

Q: The slope of the tangent line to the graph of the function y = 8Vx – 3 at (9, 21) is %3D 1.33 -2.33…

A:

Q: 7. Find the equation of a line tangent to the graph of f(x) = cotx at x = π/4. Show all steps to…

A: Given :fx=cotx

Q: 2. Find the slope of the tangent line to f(x)=V4-V+5 at the point where x 4.

A:

Q: B. Determine the slope of the tangent line at a given value of x. 6. f(x) = x 7. f(x) = -4x3 – 2. 8.…

A:

Q: Find f(x) if f(5) = 0 and the tangent line at (x, f(x)) has slope x/x2+7. f(x) =

A:

Q: Find the slope of the tangent line to the graph of the function at the point (1, 0). y 4 3 2 1 /1,0)…

A:

Q: 5. Determine the slope of the tangent at point (1,5) on the graph of f(x) = (9 – x²)} + 1.

A:

Q: Let f(x) = 33 –x The slope of the tangent line to the graph of f (=) at the point (-5, 8) is The…

A:

Q: Find f(x) if f(1) 7 1 and the tangent line at (x, f(x)) has slope f(x) =

A: We know that the slope of tangent at any point to the curve of a function is given by the derivative…

Q: A. Find the slope of the line tangent to the given curve at the indicated point. 1. f(x) = 3x + 10…

A:

Q: Find f(x) if f(2) = 3 and the tangent line at x has slope (x - 1)e - 2x, - 2x 3 fx) 2

A:

Q: iven that the graph of f passes through the point (1,6) and that the slope of its tangent line at  (…

A:

Q: 3 Find the slope of the tangent to the graph of f(x) = /x+5 at the point where x= 4.

A:

Q: The slope of the tangent line to the graph of the function y = 5/T – 4 at (16, 16) is , O -1.50 O…

A: We have to find the slope

Q: Find the equation of a line tangent to the given functions at the given points of tangency. 1) f(x)…

A:

Q: 7)Determine the points at which the graph of the function has a horizontal tangent line. f(x) х3 %3D…

A:

Q: Find the equations of the two tangent lines to the graph of f that pass through the indicated poir…

A: As we know that; The slope of the tangent line to the curve at a given point Px0,y0 is equal to the…

Q: Find the equation of the line tangent to the graph of f at the indicated value of x. f(x) = 4 +9 In…

A:

Q: The slope of the tangent line to the graph of the function y = 8vT- 4 at (16, 28) is O 1.00 O -2.25…

A:

Q: Find the values of æ where the tangent line to the graph of f(x) 1 is parallel to the line y = – 6x…

A:

Q: Find the equation of the line tangent to the graph of f(x)=−3cos(x) at x=−π/4 Give your answer in…

A:

Q: Find f(x) if f(0) = 8 and the tangent line at (x, f(x)) has slope 9x. %3D f(x) = %3D

A: Given:  f(0)=8 and the tangent line (x,f(x)) has slope 9x

Q: Find all the points on the graph of y=f(x) at which the tangent line has the given slope.…

A:

Q: The slope of the tangent line to the graph of the function y = 8/T- 4 at (16, 28) is O 4 O -1.75 O…

A: Slope : It is the Differentiation of y with respect to x at a given point.

Q: #8.) Determine the slope of the tangent at point (1,4) on the graph of f(x) = (9-x²) ²/

A: Topic = Derivative As per guidelines , At a time only one question can be answered. Please repost…