If we have that f: R → Ris a continuous function , in which f'(7) = 6 and f(7) = -2 an equation of the tangent line of the curve when x-7 corresponds to: O a) y+2 = 6 ( +7) O b) y – 2 = 6 (2 - 7) O c) y – 2 = 6 (2 +7) O d) y+2 = 6 ( – 7)

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Q: Let f(x) = 8x + 14 - 17e. Then the equation of the tangent line to the graph of f(x) at the point…

A: Let . To find the equation of the tangent line to the graph of  at the point .

Q: ge shown below represent a curve (in black color) of quarter arde, knowing that this curve starts…

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Q: 3. Find the points (x,y) of the function f(x) = -x³ + 12x² - 5 where the tangent is horizontal AND…

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Q: Let f(x) = √6-x The slope of the tangent line to the graph of f(x) at the point (2, 2) is The…

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Q: Prove that the tangent lines to the curves 5y – 2x +y³ – x²y = 0 and 2y + 5x +x* – x³y2 = 0…

A: Given: - The statement is, The tangent lines to the curves 5y-2x+y3-x2y=0and 2y+5x+x4-x3y2=0…

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Q: Therefore, the curve y = x* - 2x2 + 2 has horizontal tangents at x-0, 1, and -1

A: Just compute the derivative and equate it to zero.

Q: 11. Algebraically find the x-coordinate of all points where the given function has a horizontal…

A: Given: y=2x3+3x2-36x+1, y=2x+13x-2 We know that if any curvey=fx have horizontal tangent then slopem…

Q: The equation of the tangent line for the function f(x) = -3 – 6x at r = 6 is %3D

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Q: The equation of the tangent line to the curve z +y = 36, at (2,-19) is 19 y 3= (х — 2) - 19 19 19 y…

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Q: Prove that there no line through the point (0,1) is tangent to the graph of y = x*.

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Q: 2 Sketch the level curve of the function f(x, y) = y - x² for c = -2,0,2.

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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: Suppose the slope of the curve y = f¯¹ (x) at the point (4,7) is . Find ƒ'(7). [B] 4 [A] 1 [C] 5 [D]…

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Q: Let f(x) = /25 - æ The slope of the tangent line to the graph of f(x) at the point (9, 4) is

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Q: Find the equation of the tangent line to the function f(x) = 2x° + 3x2 + 4x +2 at the point where x…

A: Given : fx = 2x3 + 3x2 + 4x + 2

Q: Determine the equation of the line tangent to the graph of the given function below at x = 1.  A) x…

A: This question is related to functions, we will solve it using given information.