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Important formulas
d (ab )/ dx = 0 This is a constant
d ( xn ) / dx = nxn -1 Power Rule
d (a x ) / dx = a x ln a Derivative of an exponential function
d ( x x )/dx = x x (1 + ln x ) Logarithmic Differentiation
It is sometimes easy to get these several functions confused & use the wrong rule for differentiation. Always remember that each rule has extremely particular rules for where the variable & constants must be. For instance, the Power Rule needs that the base be a variable and the exponent are a constant, whereas the exponential function needs accurately the opposite.
If you can keep straight all of the rules you can't go wrong along with these.
Sequences Let us start off this section along with a discussion of just what a sequence is. A sequence is nothing much more than a list of numbers written in a particular orde
Right-handed limit We say provided we can make f(x) as close to L as we desire for all x sufficiently close to a and x>a without in fact letting x be a.
how do you you find 40% if you 35 out of 40
Graph f ( x ) = - x 2 + 2x + 3 . Solution It is a parabola in the general form. f ( x ) = ax 2 + bx + c In this form, the x-coor
Consider the function f(x) = 2x 2 + 1. Find the equation of the tangent to the graph of f(x) at x = 2. [NOTE: when calculating f'(2), use first principles.
in a triangle angle a is 70 and angle b is 50 what is angle c.
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(a) Find the curve on the surface z=x 3/2 joining the points(x,y,z)=(0,0,0) and (1,1,1) has the shortest arc lenght? (b) Use a computer to produce a plot showing the surface an
Write down two more reasons why children consider 'division' difficult. Regarding the first reason given above, one of fie few division related experiences that the child perhaps d
Hi, I''m looking for assistance/solutions to individual questions. I''ve already answered them but seek confirmation my answers are correct. I don''t want answers to a complete e
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