DOES ANYONE KNOW WHAT MY MATHS TEACHER MEANS BY "METHOD OF SMALL INCREASES" WITH REGARDS TO FINDING A TANGENT OF A CURVE? I HAVE NO IDEA ABOUT THIS TERM.
THERES NO SUCH TERM AS "METHOD OF SMALL INCREASES".
THE ONLY THING I THINK IT MAY REFER TO IS THE LIMIT DEFINITION OF THE DERIVATIVE WHICH IS
Code:
lim [U]f(a+h) - f(a)[/U]
h->0 h
OR THE VARIANT WHERE x = a + h
Code:
lim [U]f(x) - f(a)[/U]
x->a x - a
IF YOU'RE CALCULATING THE TANGENT OF A CURVE AT POINT A, THEN MAYBE "METHOD OF SMALL
PENIS INCREASES" MAY REFER TO INCREASING X OR DECREASING h TOWARDS THE LIMIT TO FIND THE EXACT DERIVATIVE.
BUT I COULD JUST BE TALKING RUBBISH, YOU'RE PROBABLY WELL BEYOND THIS STAGE AND INTO INTEGRALS FOR ALL I KNOW.