Use the four-step process to find the slope of the tangent line to the graph of the given function at any point. (Simplify your answers conmpletely.) f(x) = 2 - 9x Step 1: f(x +h) = Step 2: f(x + h) - f(x) = f(x + h) f(x) %3D Step 3: f(x + h)- f(x) Step 4: f'(x) = lim

Q: Find an equation of the tangent line to the graph of y = g(x) at x = 3 if g(3) = -5 and g'(3) = 2.…

A: Here, y = g(x)  and g(3) = -5 i.e. when x1 = 3, then  y1 = -5 and g(3)=2 i.e. At x =3, the slope, m…

Q: x2 - Write the equation of the tangent line to the graph of y = - 16x at x = 4. Check the…

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Q: (3) Find the equation of the line tangent to f(x) = 2x³ - 2x2 +1 at x = 1. [Hint: f'(a) is the slope…

A: We find the slope of f(x) at x=1 by finding f'(1)

Q: an equation of the line tangent to the function of x2 + (y – x)2 = 9 at x = 1.

A: At given value of x find y Differentiate at given value Use equation of tangent line

Q: Find the standard (slope-intercept form) equation of the tangent line to the following functions at…

A: Standard slope intercept form of a line is like,                     y=mx+c, where m is the slope of…

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

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Q: Find the equation of the tangent line to the graph of ​f(x)=3/x at (9,1/3). The equation of the…

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Q: Find an equation of the tangent line to the graph of y = g(x) at x = 6 if g(6) = -4 and g' (6) = 3.…

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

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Q: g(x) : 15 — х2; (1, 14)

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Q: Y=14x4-6x2+1; (-1,9)   find an equation of the tangent line to the graph of the function at the…

A: We know that the equation of tangent at the point (x1,y1) is: y-y1=m(x-x1) where m is the slope of…

Q: Determine the points on a function when tangent lines have a given slope Question 19x2 For which…

A: Find value of x.

Q: - 4x and draw the tangent lines to the graph at points whose x-coordinates are Graph the function…

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Q: A) Find an equation of the line tangent to the function of x2 + (y- x)2 = 9 at x = 1. %3D

A: Given, The function  x2+y-x2 = 9  We have to find the equation of the tangent line to function at x…

Q: Find an equation of the tangent line to the graph of y = g(x) at x = 3 if g(3) = -2 and g'(3) = 6.…

A: we are given y=g(x),g(3)=-2,g'(3)=6

Q: Find an equation of the tangent line to the graph of f(x) =2- 5x at (2, – 18). The equation of the…

A: A function is a relation which maps each value in its domain to exactly one value in its range.…

Q: 2. Given the function, find the slope of the line tangent to the curve: f(x) = v5x + 2 at the point…

A: We have to find the slope of the line tangent to the curve: f(x)=5x+2 at the point P(1,2) for the…

Q: Find the equation of the line tangent to the function at the given point. Your answer should be in…

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

A: We can solve the question in step by step process as below

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

A: Given :f(x) = 4cosx at x = -π3We will find the equation of tangent line

Q: Find the equation of the tangent line to the graph of the function f(x) = 4x - at x = -2. Give your…

A: Use formula of equation of tangent line.

Q: Find an equation of the tangent line to the graph of y = g(x) at x = 4 if g(4) = -2 and g'(4) = 3.…

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Q: The slope of the tangent line to the graph of the function y = 7/a – 4 at (16, 24) is -2.00 0.88…

A: Please refer the image.

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

A: Slope will be same and there will be 2 equations.

Q: Find f(3) if f"(x) = 2 and at the point (2, 6) the slope of the tangent line to f is 10.

A: we have to find f(3) if f"(x) = 2 and at the point (2, 6) the slope of the tangent line to f is 10.

Q: Q4\ Find the slope of the function F(x) = √√x+1 at the point (8,3) And find the equation of the…

A: To find the slope of the function at the given point and also the equation of the tangent line at…

Q: Find a point on the graph of 3x y = x-4 12 where the slope of the tangent is - 23. (find x value…

A: This question can be solved using the concept of slope of tangent at a given point.

Q: Find f(3) if f"(x) = 2 and at the point (2,6) the slope of the tangent line to f is 10

A: Given that: f''x=2 At the points the slope of tangent line to the function is 10 So, f'x=10

Q: Find the slope and an equation of the tangent line to the graph of the function f at the specified…

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Q: 01:- Find the slope of the curve f(x) = Vx – 1 at the point (x=5).

A: Topic-application of derivatives

Q: Find an equation of the tangent line to the graph of f(x)=ex​, where x=3.4.   The equation of the…

A:

Q: Given that f(-8) = 2 and f '(-8)  = 3, find an equation for the tangent line to the graph of y =…

A: Given that f-8=2

Q: 3. A function is defined by the equation y = V3x + 4, where does the slope of the tangent line equal…

A: Given,           A function is defined by the equation y=3x+4 and the slope of the tangent line…

Q: 2x+5 2. What is the equation of the tangent line to the graph of f(x) = in x = 5? x-3

A: fx=2x+5x-3f'x=2x-3-12x+5x-32f'x=2x-6-2x-5x-32f'x=-11x-32

Q: Find an equation of the tangent line to the graph at the given point.

A: Find an equation of the tangent line to the graph at the given point.

Q: Find the slope m of the tangent line to the graph of the function at the given point and determine…

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

A: First, find the point of tang-ency. We know the x value we now have to find y value  Substitute in…

Q: Suppose that f(x)=-7x2 + 8 (A) Find the slope of the line tangent to f(x) at x=2 (B) Find the…

A: To determine the following for the function f(x) = -7x2 + 8:Part a) Slope of tangent at x = 2.Part…

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

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

A: Integrate and pass that through given point for value of constant

Q: Solve the problem. Find where all tangents to the curve f(x) = that have slope -1. x + O x = 0 O x =…

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Q: Find the point on the graph of y = 1/(1 + x2) where the tangent line has the greatest slope, and the…

A: The graph of the function is drawn below.

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 equation of the line tangent to the graph of f(x)= -(1/6)x^2 at x=3

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Q: Estimate the value of the function, whose graph is shown in red, at x = 2.2 if the tangent line to…

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Q: please help

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Q: Bonus: Find the equation of the line tangent to f (x) = 3x – e-5x when x = 0.

A: Given: fx=3x-e-5x To Find: Equation of the line tangent to fx, when x=0. Concept: Equation of Line…

Q: Find an equation of the tangent line to the graph of y = g(x) at x = 4 if g(4) = -6 and g'(4) = 3.…

A: The tangent line is a Straight line which is a tangent to the curve at the point. The point here…

Q: (a) If F(x) = 5x/(1 + x²), find F'(2) and use it to find an equation of the tangent line to the…

A: Consider the given function as y=5x1+x2

Q: (a) If F(x) = x2 - 5x, find F'(5) and use it to find an equation of the tangent line to the curve y…

A: Given: Fx=x2-5x or y=x2-5x  As we know that; The sum/difference rule: f±g'=f'±g' The Power law;…