Equations of Tangents and Normals to Curves · CSEC Additional Mathematics
9 past-paper questions on Equations of Tangents and Normals to Curves, part of Differentiation, from every CSEC Additional Mathematics paper on Quelpr.
- 5(a)4 marks· Additional Mathematics Q5 5(a)Find the equation of the tangent to the curve at P, giving your answer in the form ax + by + c = 0, where a, b, c, ∈ Z.
- 5(b)5 marks· Additional Mathematics Q5 5(b)Determine the equation of the normal to the curve at the point P.
- 5(b)5 marks· Additional Mathematics Q5 5(b)Determine the equation of the normal to the curve at point P.
- 5(b)(i)5 marks· Additional Mathematics Q5 5(b)(i)Find equations for the tangent to the curve at P.
- 5(b)(ii)5 marks· Additional Mathematics Q5 5(b)(ii)Find equations for the normal to the curve at P.
- 5(c)5 marks· Additional Mathematics Q5 5(c)Obtain the equation for EACH of the two tangents drawn to the curve y = x² at the points where y = 16.
- 12 EITHER (i)5 marks· Additional Mathematics Q12 12 EITHER (i)Find the coordinates of A and of B.
- 12 EITHER (ii)5 marks· Additional Mathematics Q12 12 EITHER (ii)Find, in terms of e, the x-coordinate of R.
- 12 OR (i)4 marks· Additional Mathematics Q12 12 OR (i)Find the coordinates of B.
Related topics in Differentiation
- Chain Rule 7
- Concept of the Derivative as Gradient 1
- Derivative as a Rate of Change (Kinematics and Related Rates) 15
- Derivative of x^n 2
- Derivatives of sin ax and cos ax 5
- Notation for the First Derivative 1
- Product and Quotient Rules 11
- Second Derivative Test for Stationary Points 11
- Second Derivatives of Functions 2
- Simple Rules of Differentiation 3
- Stationary Points (Maxima/Minima) 15
- Velocity-Time Graphs and Acceleration 21