Let f (x) = x³ – 2x + 1 and g (x) = f=1 (x). 3 What is the slope of the curve g(x) = f-l (x)at the point (-2, 1)? g'(-2) = } 1 o gʻ(-2) = 10 o g'(-2) = 1 : 1 o g'(-2) = –1

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Q: Find the slope of the tangent line to the curve 4x² 3xy - 2y³ = - 26 - at the point (4, 3).

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Q: An equation of the tangent line to the curve y= 4x2-8x-5 at the point (-1, 5) is O y14x-9 Oy 14x71 O…

A: The curve is given by,

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Q: Find an equation of the tangent line to the curve x2y² – 2x = 9-y at the point (-2, 1)

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Q: 5. Find the equation of the tangent and normal line of 2x+1 y = at point (1,1). x+2

A: A detailed solution is given below     (As per our guidelines, we have to solve only one question)

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A: Since the tangent is parallel to y = 8x + 5. Hence, the slope of the tangent = slope of the line = 8

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Q: Find the equation of the tangent line.

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Q: 9. Find the equation of the tangent line at point (2,2) on the curve fx) = x²- 7x + 12.

A: To find the equation of the tangent line

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Q: Find an equation for the tangent line to the curve y = xV 2x² - 14 at the point (3,6). O y- 6 = 14(x…

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Q: _1. What is the slope of the tangent line to the curve y = 3x² – 5 at point (-1,-2)? a. -5 b. -6…

A: Using Derivatives & Application of derivatives

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A: equation of the curve  is given below...

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Q: Find the equation of the tangent line to the curve y=xVx +5 at the point (2,6).

A: Given : y= x √(x²+5)  To find tangent line equation, we need to find differentiation of this…

Q: 7. Find the slope of the line tangent to the curve at the point (2,1). x²y + xy² = 3x %3D

A: 7. The equation is given by x2y+xy2 = 3x                                                ......(1)…

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Q: Find the slope of the tangent line to the graph at the given point. (x² + y²)² = 4x²y, (1,1)

A: To find slope of tangent of a curve at a given point, we need to find differential at that point

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Q: find tangent line to the curve y=3x/7-x at a point of (-3,2/7)

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Q: 2. Find the equation of the tangent line to the curve y = x³+ 2x² – x at the point (-2, 7).

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Q: 2. Find the equation of the tangent lines and the normal lines to the curve y = 2x² +3 at the point…

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Q: Find the tangent and normal line to the curve at the specified condition.  3x3 - x2 - 12x + 6 at…

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Q: 11. What is the slope of the tangent line to the curve y = 3x² – 5 at point (-1,-2)? %3D a. -5 b. -6…

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Q: Use implicit differentiation to find at the point (-2, 3) on the curve dx x³ + y³ = 19.

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Q: Find an equation of the curve that passes through thepoint (0, 1)and whose slope at (x, y) is xy.

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Q: Show that the curve y = 6 x 3 + 5x -3            has no tangent line with slope 4.

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Q: 2. Determine the equation of the line tangent to the graph of y = x³ + 2x at the point (1,3).

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Q: find the slope of the tangent line to the graph at the given point. (x2 + y2)2 = 4x2y,   (1,1)

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Q: 2. What is the slope of the line tangent to the curve 8x³ - y² = 4 at the point (1,-2)? 3. What is…

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Q: Determine the slope of the tangent line to the curve (x² + y² – 2x)² = 2(x² + y²) at (2, 2).

A: