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ccc What is the slope of the tangent to the curve y = 6x^{3}  8x + 2 at the point whose x  coordinate is 6? ccc

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ccc Find the slope of the tangent to the curve y = x+3 at x = 33. ccc

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ccc What is the slope of the normal to the curve y = 6x^{3} at (1, 6)? ccc

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ccc What is the slope of the tangent to the curve y = 4x^{4}  6x at (1,  2)? ccc

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ccc Find the slope of the normal to the curve y = 8x^{4}  9x^{3} + 2x^{2}  4x + 5 at (8, 9). ccc

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ccc What is the slope of the tangent to the curve f(x) = 4(1x) + 2 (x3) + 1 at x = 4? ccc

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ccc What is the slope of the tangent to the parabola y^{2} = 81ax at (at^{2}, 9at)? ccc

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ccc Find the equation of the tangent to the curve y = 2x^{2} at (2, 8). ccc

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ccc What is the equation of the tangent to the curve defined by x = 5cos t & y = 6sin t at t = π4 ? ccc

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ccc If the slope of the tangent to the curve y = 4x^{3} at the point A equals the ycoordinate of A, then find A. ccc

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ccc Find the slope of the normal to the curve x = 1  5 sin θ; y = 4cos2θ at θ = π2. ccc

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ccc What is the equation of the tangent line to the curve y = 7x^{2}  52x + 99 which is parallel to the line 4x  y + 3 = 0? ccc

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ccc What is the equation of the tangent to the curve y = 29x  4 which is parallel to 9x  y + 4 = 0? ccc

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ccc Find the equation/s of the normal to the curve y = x³ + 9x + 5 which is /are parallel to the line x + 36y + 4 = 0. ccc

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ccc Find the equation of the tangent line to the curve y = x^{2}  4x + 13, which is perpendicular to the line 4x  y + 17 = 0. ccc

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ccc What is the slope of the normal to the curve y = 3x^{3} + 4x + 5 at (3, 4)? ccc

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ccc Find the slope of the tangent to the curve y = 4x^{3}  3x^{5} at x = 4. ccc

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ccc What is the equation of the tangent to the curve 3x + 5y = 43 at (36, 25)? ccc

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ccc If the slope of the tangent at the point (5, 4) to the curve 5xy + 4x + ay = 0 is 5, then find the value of a. ccc

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ccc Find the angle between the curves y = x and x^{3} + y^{3} = 54 at P (3,3 ). ccc

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ccc Find the acute angle between the curves y = 6sin x and y = 5cos x at x = π4. ccc

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ccc What is the angle between the curves y^{2} = 4x and x^{2} = 4y at (0, 0)? ccc

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ccc What is the slope of the tangent to the curve y = 4x^{3}  2x + 2 at the point whose x  coordinate is 4? ccc

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ccc Find the slope of the tangent to the curve y = x+5 at x = 59. ccc

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ccc What is the slope of the normal to the curve y = 5x^{3} at (1, 5)? ccc

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ccc What is the slope of the tangent to the curve y = 2x^{4}  4x at (1,  2)? ccc

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ccc Find the slope of the normal to the curve y = 5x^{4}  3x^{3} + 9x^{2}  2x + 4 at (5, 3). ccc

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ccc What is the slope of the tangent to the curve f(x) = 4(1x) + 2 (x3) + 1 at x = 16? ccc

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ccc If the slope of the tangent and the slope of the normal at a point to the curve f(x) is represented by t and n, then which of the following is correct? ccc

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ccc What is the slope of the tangent to the parabola y^{2} = 9ax at (at^{2}, 3at)? ccc

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ccc Which of the following is the condition for the curves y = 6x and xy = 3k to cut at right angles? ccc

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ccc Find the equation of the tangent to the curve y = 5x^{2} at (5, 125). ccc

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ccc What is the equation of the tangent to the curve defined by x = 3cos t & y = 4sin t at t = π4 ? ccc

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ccc If the slope of the tangent to the curve y = 7x^{3} at the point A equals the ycoordinate of A, then find A. ccc

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ccc Find the slope of the tangent at (3,  3) to the curve y^{2} = x36  x. ccc

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ccc Find the slope of the normal to the curve x = 1  9 sin θ; y = 3cos2θ at θ = π2. ccc

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ccc What is the equation of the tangent line to the curve y = 9x^{2}  51x + 74 which is parallel to the line 3x  y + 3 = 0? ccc

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ccc What is the equation of the tangent to the curve y = 27x  9 which is parallel to 7x  y + 3 = 0? ccc

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ccc Find the equation/s of the normal to the curve y = x³ + 4x + 3 which is /are parallel to the line x + 16y + 4 = 0. ccc

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ccc What is the slope of the normal to the curve y = 7x^{3} + 2x + 2 at (7, 2)? ccc

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ccc Find the slope of the tangent at (3, 3) to the curve y^{2} = x36x. ccc

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ccc Find the slope of the tangent to the curve y = 8x^{3}  5x^{5} at x = 3. ccc

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ccc Find the equation of the tangent line to the curve y = x^{2}  2x + 7, which is perpendicular to the line 2x  y + 9 = 0. ccc

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ccc What is the equation of the tangent to the curve 6x + 5y = 97 at (144, 25)? ccc

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ccc If the slope of the tangent at the point (4, 2) to the curve 4xy + 2x + ay = 0 is 4, then find the value of a. ccc

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ccc Find the angle between the curves y = x and x^{3} + y^{3} = 16 at P (2,2 ). ccc

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ccc Find the acute angle between the curves y = 8sin x and y = 2cos x at x = π4. ccc

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ccc What is the angle between the curves y^{2} = 2x and x^{2} = 3y at (0, 0)? ccc

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