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Solved Examples
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 DDD What is the slope of the tangent to the curve y = 6x3 - 8x + 2 at the point whose x - coordinate is 6? DDD View Solution
 DDD Find the slope of the tangent to the curve y = x+3 at x = 33. DDD View Solution
 DDD What is the slope of the normal to the curve y = 6x3 at (1, 6)? DDD View Solution
 DDD What is the slope of the tangent to the curve y = 4x4 - 6x at (1, - 2)? DDD View Solution
 DDD Find the slope of the normal to the curve y = 8x4 - 9x3 + 2x2 - 4x + 5 at (8, 9). DDD View Solution
 DDD What is the slope of the tangent to the curve f(x) = 4(1x) + 2 (x3) + 1 at x = 4? DDD View Solution
 DDD What is the slope of the tangent to the parabola y2 = 81ax at (at2, 9at)? DDD View Solution
 DDD Find the equation of the tangent to the curve y = 2x2 at (2, 8). DDD View Solution
 DDD What is the equation of the tangent to the curve defined by x = 5cos t & y = 6sin t at t = π4 ? DDD View Solution
 DDD If the slope of the tangent to the curve y = 4x3 at the point A equals the y-coordinate of A, then find A. DDD View Solution
 DDD Find the slope of the normal to the curve x = 1 - 5 sin θ; y = 4cos2θ at θ = π2. DDD View Solution
 DDD What is the equation of the tangent line to the curve y = 7x2 - 52x + 99 which is parallel to the line 4x - y + 3 = 0? DDD View Solution
 DDD What is the equation of the tangent to the curve y = 29x - 4 which is parallel to 9x - y + 4 = 0?  DDD View Solution
 DDD 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. DDD View Solution
 DDD Find the equation of the tangent line to the curve y = x2 - 4x + 13, which is perpendicular to the line 4x - y + 17 = 0. DDD View Solution
 DDD What is the slope of the normal to the curve y = 3x3 + 4x + 5 at (3, 4)? DDD View Solution
 DDD Find the slope of the tangent to the curve y = 4x3 - 3x5 at x = 4. DDD View Solution
 DDD What is the equation of the tangent to the curve 3x + 5y = 43 at (36, 25)? DDD View Solution
 DDD 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. DDD View Solution
 DDD Find the angle between the curves y = x and x3 + y3 = 54 at P (3,3 ). DDD View Solution
 DDD Find the acute angle between the curves y = 6sin x and y = 5cos x at x = π4. DDD View Solution
 DDD What is the angle between the curves y2 = 4x and x2 = 4y at (0, 0)? DDD View Solution
 DDD What is the slope of the tangent to the curve y = 4x3 - 2x + 2 at the point whose x - coordinate is 4? DDD View Solution
 DDD Find the slope of the tangent to the curve y = x+5 at x = 59. DDD View Solution
 DDD What is the slope of the normal to the curve y = 5x3 at (1, 5)? DDD View Solution
 DDD What is the slope of the tangent to the curve y = 2x4 - 4x at (1, - 2)? DDD View Solution
 DDD Find the slope of the normal to the curve y = 5x4 - 3x3 + 9x2 - 2x + 4 at (5, 3). DDD View Solution
 DDD What is the slope of the tangent to the curve f(x) = 4(1x) + 2 (x3) + 1 at x = 16? DDD View Solution
 DDD Find the slope of the tangent at (3,-  3) to the curve y2 = x36-x. DDD View Solution
 DDD 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? DDD View Solution
 DDD What is the slope of the tangent to the parabola y2 = 9ax at (at2, 3at)? DDD View Solution
 DDD Which of the following is the condition for the curves y = 6x and xy = 3k to cut at right angles? DDD View Solution
 DDD Find the equation of the tangent to the curve y = 5x2 at (5, 125). DDD View Solution
 DDD What is the equation of the tangent to the curve defined by x = 3cos t & y = 4sin t at t = π4 ? DDD View Solution
 DDD If the slope of the tangent to the curve y = 7x3 at the point A equals the y-coordinate of A, then find A. DDD View Solution
 DDD Find the slope of the tangent at (3, - 3) to the curve y2 = x36 - x. DDD View Solution
 DDD Find the slope of the normal to the curve x = 1 - 9 sin θ; y = 3cos2θ at θ = π2. DDD View Solution
 DDD What is the equation of the tangent line to the curve y = 9x2 - 51x + 74 which is parallel to the line 3x - y + 3 = 0? DDD View Solution
 DDD What is the equation of the tangent to the curve y = 27x - 9 which is parallel to 7x - y + 3 = 0?  DDD View Solution
 DDD 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. DDD View Solution
 DDD What is the slope of the normal to the curve y = 7x3 + 2x + 2 at (7, 2)? DDD View Solution
 DDD Find the slope of the tangent to the curve y = 8x3 - 5x5 at x = 3. DDD View Solution
 DDD Find the equation of the tangent line to the curve y = x2 - 2x + 7, which is perpendicular to the line 2x - y + 9 = 0. DDD View Solution
 DDD What is the equation of the tangent to the curve 6x + 5y = 97 at (144, 25)? DDD View Solution
 DDD 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. DDD View Solution
 DDD Find the angle between the curves y = x and x3 + y3 = 16 at P (2,2 ). DDD View Solution
 DDD Find the acute angle between the curves y = 8sin x and y = 2cos x at x = π4. DDD View Solution
 DDD What is the angle between the curves y2 = 2x and x2 = 3y at (0, 0)? DDD View Solution