Differentiation, maximum, minimum, C1.

[STEP II 1997 Question 7 (Pure)]

Roots of equation, logarithmic function.

[STEP I 1997 Question 8 (Pure)]

Bump, rational functions, sine function, C1.

[STEP I 1993 Question 6 (Pure)]

Family of curves, rational functions, first order differential equation, intersection of curve.

[STEP III 1992 Question 4 (Pure)]

Trigonometry, logarithm, root of equation, approximation.

[STEP II 1992 Question 6 (Pure)]

Taylor series, curve sketching, inequality, asymptote.

[STEP III 1990 Question 7 (Pure)]

Cubic equation, cases, inequality, C1.

[STEP II 1990 Question 3 (Pure)]

Asymptotes, turning points, roots of equations, C1.

[STEP III 1989 Question 4 (Pure)]

Rational function, functional equation, differentiation, inequality, different cases.

[STEP II 1989 Question 4 (Pure)]

Cubic equations, polynomial, turning points, differentiation, C1.

[STEP I 1989 Question 9 (Pure)]