Derivatives of Exponential Functions What is the derivative of e? y = ex has the particular property ie for every real number x, the gradient of y = ex is also equal to ex (see Derivatives of Expon...
"e" Exponential Function What is e, the exponential function? The exponential function is y = ex e is an irrational number e ≈ 2.718 As with other exponential graphs y = ex passes through (0, 1) ha...
Logarithmic Functions Logarithmic functions a = bx and log b a = x are equivalent statements a > 0 b is called the base Every time you write a logarithm statement say to yourself what it means l...
Exponential Functions Exponential functions Exponential functions of the form y = ax with a > 0 are considered at A level Exponential graphs All graphs of the form y = ax will pass through (0, 1...
Approximating Values What is the general binomial expansion? The general binomial expansion, as given in the formula booklet, is If n ∈ ℕ then the expansion is finite (see Binomial Expansion) Other...
General Binomial Expansion - Multiple What is the general binomial expansion? The general binomial expansion, as given in the formula booklet, is If n ∈ ℕ then the expansion is finite (see Binomial...
General Binomial Expansion - Subtleties What is the general binomial expansion? The binomial expansion applies for positive integers, n ∈ ℕ The general binomial expansion applies to other types of ...
General Binomial Expansion What is the general binomial expansion? The binomial expansion applies for positive integers, n ∈ ℕ The general binomial expansion applies to other types of powers too Th...
Further Modelling with Functions How do I solve modelling problems? There will be no one-size-fits-all step-by-step guide to solving modelling questions A combination of skills and problem-solving ...
Quadratic Denominators What is meant by partial fractions with quadratic denominators? How do I find partial fractions involving quadratic denominators? STEP 1 Factorise the denominator a...
Squared Linear Denominators Partial fractions In partial fractions the common denominator is split into parts (factors) This is the reverse process to adding (or subtracting) fractions In harder qu...
Linear Denominators What are partial fractions? This is the reverse process to adding (or subtracting) fractions When adding fractions a common denominator is required In partial fractions the comm...
