ONLY PART 1.d PLEASE Tangent Lines and Derivative Definition AND QUESTIONS 2 AND 3 Let f(x)x29 a FTd ure-slopeof the secant line through the points (2, f(2)aud- 1 5 2 b) Findthe slope of the secant line through the points (2,7J c) Fhd the slope to the line tangent to f(x) at the points (2, f(2)). d) Find the equation of the line tangent to f(x) at the point(2, f(2) nd 4 2. Find the equation of the line tangent to g(x) at x 2 x-1 Find the equation of the line tangent to j(x) at x 1 3. in Iei

Q: The tangent line to the graph of y = h(x) at the point ( -1, 4) passes through the point (3, 6).Find…

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Q: Find the equation of the tangent line to the graph of the given function at the point with the…

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Q: 13. Find an equation of the tangent line to the curve at the given point (use the definition of…

A: The equation of the curve is given by y = 2x2+1 The point at which the tangent line of the curve…

Q: Find an equation of the tangent line to the curve  2(x2+y2)2 = 25(x2-y2) (a lemniscate) at the the…

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Q: Find an equation of the tangent line to the curve y x at the given point (4,2). the definition to…

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Q: b. Sketch the tangent line to the curve at (-1, V2). Do you think your calculation in the previous…

A: derive formula:

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

A: Consider the given function fx=-72x2+8x+8 at -1,-72. Obtain the slope of the tangent line by…

Q: The tangent line to the graph of y = h(x) at the point (-1, 7) passes through the point (5, 4). Find…

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Q: Find the perpendicular distance between tangent line to the curve f(x) = ln(sin(x)) when it has a…

A: Given,f(x) = In (sin(x))To find prependicular distance between,tangent line to f(x) at slope = 3 (0…

Q: 1. At the point (1, -1), the function (z,y) has a derivative of b in the direction toward (3, 1) and…

A: Given  that at the point (1,−1), the function f(x,y) has a derivative of 5 in the direction toward…

Q: -2 (a) Show that f'(x) using the definition of the derivative. (2x + 7)² (b) Find the equation of…

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Q: Find an equation for the tangent line to the curve at the given point. f(x) = -3el*, (0,-3) Show…

A: equation of the tangent = ?

Q: 3 Use implicit differentiation to find the equation of the tangent line to the curve ry + ry = 2 at…

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Q: 2 y-(1-2x) y = 1 – 2x° У y"

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Q: 5) Determine the slope of the tangent line to the function with the given information: a. f(x, y) =…

A: “Since you have posted a question with multiple sub-parts, we will solve the first three subparts…

Q: The following question contains 2 statements. Statement -1: The equation of the tangent line to the…

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Q: Find an equation for the tangent line to y = g(x) at the point (2, g(2)). Write your result in…

A: From graph we have g(2)=4 and therefore we compute the tangent of the graph y=g(x) at the point…

Q: Find the derivative of the given function. y = csc (1 – a²) CSC y = 5 csc" (1 – a)(- esc° (1 –…

A: Let's find.

Q: Discuss two applications of derivatives to something other than tangent lines and velocities

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

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Q: Find the point(s) on the graph of y = (x2 – 48)e × where the tangent line is horizontal. Identify…

A: Tangent is horizontal that means derivative of f(x) is equal zero.

Q: 5. The slope of the tangent line at any point (x, y) on a curve is 10 – 4x, and the point (1, –1) is…

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Q: 10 The point (1,f(1)) lies on the curve f (x) 5-3x a) If Q is the point (x, ƒ(x))find the slope of a…

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Q: 11) We defined derivatives using a secant line to estimate a tangent line. In the definition, what…

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Q: 2 The equation of the tangent line to the graph y at the point (-1,2) is given by O a) y = 6x + 8. O…

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Q: Find the slope of the tangent line by the indicated derivative using the definition. a. f(x) = x2 -…

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Q: the graph at the given point. (y − 3)2 = 4(x − 5),    (9, 7)

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Q: Find an equation of the tangent line to the curve 2(az² + y³)² = 25(x² – y}) - (a lemniscate) at the…

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Q: Find the equations of the tangent line and normal lines to the graph of the function f(x)=−2sin x…

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Q: The slope of the tangent line to the curve y = 3x° at the point (-5, –375) is: slope = The equation…

A: topic - equation of tangent line to curve

Q: (:) 1 Find the equation of the tangent line to the curve f(x) : at the point x+1 Write equation in…

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Q: What is the slope of the tangent line to the graph of y= x*-3x2 + x +2 at x-17 [a) What is the…

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Q: 3. Give the definition of a derivative of a function f of one variable at a point xo. /2 Find the…

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Q: 2 If f(x) find f'(3) and us it to find an equation of the tangent line to the curve y = at ズー1 ズ-1…

A: Given function is, fx=2x-1

Q: A. Find the slope of the curve y = x² - 2x - 4 at the point (2, -4) by finding the limiting value of…

A: A. Find the slope of the curve y = x² - 2x - 4 at the point (2, -4) by finding the limiting value of…

Q: The tangent line to a certain curve at any point P(x, y) has an x-intercept (not slope) equal to 3…

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Q: 2. Use the definition of the derivative to find the first and second derivatives of the function. 1…

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Q: Find the direction derivatives of the function F(x,y) = sin (x - y) In direction   At point (π\2…

A: Given function: Fx,y=sinx-y   First, The gradient of F(x,y) is: ∇F=∂F∂x,∂F∂y…

Q: Find the equation of the tangent line to the curve y = x *sqrt(x2 + 5) at the point (2,6

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Q: Use the graph of f'(x), the derivative of f(x), given to the right to answer the following question.…

A: Given that f(3)=-3 So, let x0=3⇒y0=f(x0)=f(3)=-3 And from the graph f'(3)=2⇒m=f'y0=2

Q: 1) The following question contains 2 statements. Statement -1: The equation of the tangent line to…

A: The second statement is correct as in the general equation, m is the slope of the line and that…

Q: Find an equation of the tangent line to the curve 2(x² + y)² = 25(x² – y²) (a lemniscate) at the…

A: Given that 2x2+y22=25x2-y2To find : equation of tangent line at point 3,1Solution…

Q: The straight line y=x +B is tangent to the graph of f(x) = 2^{x at the point where x = A. Find A and…

A: The staright line y=13x+B is tangent to the graph of f(x)=2x at the point where x = A, we have to…

Q: An equation of the tangent line to the curve C at the point (1, 2) is A y-2=--(x – 1) 2 B y-2=2(x-1)…

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Q: Consider the function f(x) = 4x – x2 and the point P(2, 4) on the graph of f. Part A) Graph f and…

A: Given:

Q: Find the equation of the tangent line to the curve y=xlnx that is parallel to the line Y=1+3x.

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Q: 10.(a) Find the derivative of the function f(x) =x² +2 using the definition of derivative. (b) What…

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Q: A:the directional derivative at the point po (1,2) toward the point Pi(-1,0) is 1, and from the…

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Q: Find an equation of the tangent line to the graph of the equation x + y - e* - Y = 9 at the point…

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