Question 3: Find the equation of the tangent line to the curve at the given point: f(x) = x3 – x at the point x = -2 %3D

Q: Question 4 Find the equation of the tangent line to the curve Y = (2-6³²) cos(₂x) at x=0

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Q: Question (3): Sketch the graph of the following function y = -2 tanx- 1 Question (4): Find the first…

A: Our objective is to draw the graph of  a function, and find the derivative of a function.

Q: Can you please solve this question and show all of the steps and say the correct letter

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Q: Problem 10 Find the slope of the tangent line to the function 25xy = 12(x2 + y?) At the point (3, 4)…

A: Given function is Differentiating both sides with respect to x, we get

Q: Figure 1 below is a sketch of a function g(x) and its tangent line at the point (2,5). (2,5) → gex)…

A: From given graph g(2) = 5 g(3) = 0

Q: Question 1 The slope of the tangent line to the curve C at the point (1, 2) is (A 4 -2 C) 2 D -4 B

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Q: Question 7 What is the equation of the tangent line to the curve y = In(x"+1) at x=17 A y=2x+In2 - 1…

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Q: Question 13 The slope of the tangent line to the curve y= xsin(x) at X = T is: (A) e -1 D - Tt E…

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Q: Let f(x) 3x2 + x + 5.

A: For horizontal tangent the slope is equal to 0

Q: Question 1: a) A function is given by f(x) = 5x3 - 6x2 + x - e*. Find the slope of the tangent line…

A: Solution:-

Q: Question 1: c) Find the equation of the tangent line to the function y = sec²x at the point (1:2).

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Q: Question 7. Find the equation of the tangent line to the curve y = e²- I +1 at r = 0.

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Q: QUESTION 3 · Find the equation of the line tangent to the graph of f(x) = „, at x = 4. z+2 Provide…

A: Given: fx=1x+2 at x=4

Q: QUESTION A.5.2 Find the slope of the tangent line to the function x2 + (y – x)3 = 28 at x = 1.

A: As per our guideline we are allowed to answer only question. Kindly repost the other question as the…

Q: Suppose that a 6-foot tall person is 12 feet away from an18-foot tall lampost. (a) use similar…

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Q: Question 9 Find the equation of the tangent to y = xvx at the point where x = 4 -8 -6 2-

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Q: Question 5 Solve the following for f(x)=x² - 2x + 1 at point (-2,-1) (i) ii) Find the slope of the…

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Q: 7. y = 4 + In(1 – 2x) ; (0,4) ||

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Q: Question 8. Find an equation of the tangent line to the graph of y = x² +1 at the point (2, 5).

A: given function is y=x2+1 point is (2,5).

Q: Question 19 Find the equation of the tangent line to the curve at the point (0, 0). Oz+y=1 O-x+y=0…

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Q: Question 8 Determinethe equation of the tangent line to the curve, y = 3x4-2x-1 4-x² , at x=1.

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Q: Question 9 If the slope of the tangent line to the graph of y=f(x) at x-a is m(a)=2a+1, and f(1)=5,…

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Q: Question 2: What is the slope of the tangent of the function Ma) - 3 b(x) = a - x² + 2x at r = 2?…

A: The equation of the given function is bx=13x3-32x2+2x. Take the given function as y=13x3-32x2+2x.…

Q: Find the equation(s) of the tangent line(s) at the point(s) on the graph of the equation y -xy + 12…

A: Solution is below

Q: 1 Find an equation for the line tangent to the graph of y=2 tan at the point (3,1/8).

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Q: Question 12 Find the slope of the tangent line to y = at X = 1 3 - х

A: The given curve is y=23-x, x=1 Differentiate the curve with respect to x      dydx = ddx23-x       =…

Q: tind the equation op the tangent line to the graph of tG) 5 at point at which x=0. . 2x-1

A: The given function is  f(x) = y = (x - 5)/(2x - 1) The given point x = 0 y = (0-5)/(2*0-1) y = -…

Q: QUESTION 4 Find the equation of the tangent line to the curve at (1, 4). y = x' + O a. x = 1 O b.y =…

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Q: Question 15 Determine the equation of the curve whose tangent line at any point (x.y) is e* – sin x…

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Q: Question 10. Find all the r-values where the graph of f(x) has a horizontal tangent line given f(x)…

A: The tangent line of any given function is the line which  touches the curve of function at only one…

Q: Question 10. Consider y = . Find the value of x at which this curve has a stationary point. 3e4x2

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Q: 21 Find the equation of the tangent i ne OF the graph of yEra y= xe at the point ( ). y=? -2X

A: The objective is to find the equation of the tangent line.

Q: |The graph of ах + b f(x) = (т — 1)(» — 4) has a horizontal tangent line at (2, –1). Find a and b.

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Q: QUESTION 8 Find the equation of the tangent line at y = 0, given the inverse function x = (3y + 2)(y…

A: Option last is correct.  Equation of tangent is        y-y1=slope(x--x1)

Q: Question 3 The slope of the tangent line to the graph of 4x2 + cx – 2e" = -2 at (0, 0) is 4. Give…

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Q: The question is attached

A: The given function is f(x)=-3x4-x3+2x-5. Let the equation of the tangent line drawn to the graph at…

Q: ind an equation of the tangent line to the graph of the function at the given poin y = (e - 4)2. (0,…

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Q: Question 2 Find an equation for the line tangent to the given curve at the indicated point. y6,…

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Q: -9x Find an equation of the tangent line to the graph of y = e at the point (4, e¯3º). y =

A: First of all we will find the slope of the tangent line using the fact that the slope of tangent…

Q: QUESTION 6 The slope of the line tangent to function y- 28x2 -6x at x-2 equals: O a. 50. Ob.106.…

A: The power rule of differentiation states that d dxxp=pxp-1, where p is any real number. Use the…

Q: QUESTION 18 Find the equation of the tangent line at y = 0, given the inverse function x = (3y +…

A: First find slope then use equation of tangent line

Q: Question(10). Find the equation of the tangents to the curve y = cos x at x = T/2 and at a =…

A: Given curve is y=cosx.

Q: IN QUESTION 6, WRITE AN EQUATION OF THE TANGENT LINE TO THE CURVE AT THE GIVEN POINT. 6. f(x) = Vx +…

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Q: QUESTION 11 Find the equation of the tangent line at y = 0, given the inverse function x = (3y +…

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Q: QUESTION 2 Find an equation of the tangent to the curve at the point by first eliminating the…

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Q: Question 1. Find f(4) and f'(4), assuming that the tangent line to y = f(x) at a = 4 has equation…

A: Giveny=10x+7

Q: 1.(10 pts) Find an equation for the tangent line to the graph of y = tan at the 100 – 22 - point…

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Q: Question 6 The slope of the tangent line to the curve y =x² + 4x + 7 at x = 1 is Blank 1. Blank 1…

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Q: As shown the graphs of y = 2x, y = 3-x, and y = -ln x. Match each curve with the correct function.

A: x 0 x→-∞ x→∞ y=2x 1 0 ∞ Therefore, graph of y=2x is graph B.   x 0 x→-∞ x→∞ y=3-x 1 ∞ 0…

Q: Question 3. Find y" if implicit differentiation produces the following equation in y': sin (Vy) =…

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