External Evaluation of the European Baccalaureate (Annexes)

DIFFEREN
TIATION
• Of the product of a continuous
function with a real number
• Of the sum, product, quotient ,
composition of two continuous
functions
• Continuity over ∇of polynomial
functions
• Continuity of rational functions
over their domain
Limits
• Notion of a limit of a function at
a point
• Removable continuity
• Right hand limit of a function at
a point
• Extension of the notion of limit,
infinite limit, limit as the
variable tends to +∞ and - ∞
• Statement without proof of
theorems concerning limits
• Of the absolute value of a
function
• Of the product of a function
with a real number
• Of the sum, product, quotient,
composition of two functions
• Indeterminant forms
No guidance given for time
allocation
• Value of derivative of a
function at a given point
• Geometrical interpretation
• Equation of the tangent at a
point on the graph of a function
• Derivative of a function
• Successive derivatives
• Derivative of a product of a
differentiable function with a
real number
• Derivative of the sum, product,,
quotient and composition of
two differentiable functions
• L’hospitals rule
• application of the notions of
limits and derivatives to the
analysis of a function
52
C1
• understand gradient of curve as the limit
of the gradients of a sequence
• understand the idea of a derived function
and second order function, use
appropriate notation
• use derivative for xⁿ
• apply differentiation to gradients, tangent
and normals, rates of change, increasing
and decreasing functions and location of
stationary points
C3
• use derivatives of e ⁿ and ln x
• differentiate composite functions using
the chain rule
• differentiate products and quotients
• apply differentiation to connected rates of
change
C4
• use derivatives of sin x, cos x, tan x
• find and use the first derivative of a
function defined parametrically or
implicitly
• extend the idea of reverse differentiation
• formulate a simple statement involving