A-LevelMathematicsDifferentiation9709/12 · Oct/Nov 2023 · Q36 Marks
The equation of a curve is such that dy/dx = ½x + 72/x⁴. The curve passes through the point P (2, 8).
- (a)Find the equation of the normal to the curve at P.[2]
- (b)Find the equation of the curve.[4]
Mark scheme
Marking points from the official mark scheme (Oct/Nov 2023). The mark or mark type is shown in brackets.
- [M1] Tangent gradient must come from x = 2 substituted into the given expression.
- [A1] OE
- [B1, B1] One mark for each correct unsimplified { }.
- [M1] Substitution of x = 2, y = 8 into their integrated expression, defined by at least one correct power. Two terms and + c needed.
- [A1] Both coefficients must be simplified but allow x⁻³. Condone c = 10 as line as long as either y or f(x) = is seen elsewhere.
Write your answer and get it marked
On Oracle Prep you can write or photograph your own answer and have it marked by AI against this mark scheme, with feedback on what you missed.
Sign up free →