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C1 DIFFERENTIATION

Page history last edited by Steph Richards 15 years, 1 month ago

 LINK TO C1 PAST PAPERS

 WJEC SPECIFICATION FOR C1 DIFFERENTIATION

 

Topics

Notes

4.

The derivative of f (x) as the gradient of

To include finding from first principles the

 

the tangent to the graph of y = f (x) at a

derivative of a polynomial of degree less than 3.

 

point;

the gradient of the tangent as a limit; interpretation as a rate of change;

 

The notations dy or f′ (x) may be used.

                     dx

 

second order derivatives.

 

 

Differentiation of x to the power of n and related sums and differences

To include polynomials.

 

 

 

 

Application of differentiation to gradients,

Equations of tangents and normals.

 

tangents and normals, maxima and

The use of maxima and minima in simple

 

minima, and stationary points, increasing

optimisation problems.

 

and decreasing functions.

To include stationary points of inflection and

 

 

simple curve sketching.

 

 DIFFERENTIATION FROM FIRST PRINCIPLES WJEC PAST PAPER WORKSHEET

 

DIFFERENTIATION OF POLYNOMIALS WJEC PAST PAPER WORKSHEETS

 

Try an on line puzzle with Differentiation of a polynomial

 

VIDEO PRESENTATIONS OF DIFFERENTIATION FROM FIRST PRINCIPLES

THEORY, EXAMPLES and PAST PAPER QUESTIONS

It is best if you view these in FULL SCREEN (Click the small square)

 

    

 

POWER POINT PAST PAPER QUESTION WJEC C1 MAY 2008

DIFFERENTIATION OF POLYNOMIALS TEACHERTUBE VIDEO 

 

 

 

LINK TO WARWICK UNIVERSITY STATIONARY POINTS

 

DIFFERENTIATION OF POWERS (NOT FROM FIRST PRINCIPLES!!!!)

 

 YOU TUBE VIDEO STATIONARY POINTS

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