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Differentiation Formulas : We will begin this section with some basic properties and formulas. We will give the properties & formulas in this section in both "prime" notation & "fraction" notation.
Properties
1) (f ( x) ± g ( x ))′ ) = f ′ ( x ) ± g ′ ( x ) OR d ( f (x ) ± g ( x )) = df/dx ± dg/ dx
In other terms, to differentiate a sum or difference all we have to do is differentiate the individual terms & then put them back together with the suitable signs. Note that this property is not limited to two functions.
2) (cf ( x ))′ = cf ′ ( x ) OR d (cf ( x ))/dx = c df/dx , c is any number
In other terms, we can "factor" a multiplicative constant out of derivative if we have to.
Note as well that we have not involved formulas for the derivative of products or quotients of two functions here. The derivative of product or quotient of two of functions is not the product or quotient of the derivatives of individual pieces
NUMBER SYSTEMS: Numbers are intellectual witnesses that belong only to mankind. Example: If the H C F of 657 and 963 is expressible in the form of 657x + 963 x -
how to find mv
uses of vector in daly life
56+3
Function notation: Next we have to take a rapid look at function notation. Function notation is nothing more than way of writing the y in a function which will let to simplify not
1/2+1/2
9*9
((1/x^1/2-(x-1)^1/2)+(1/(5-3(x-1)^2)^1/2)
Find the normalized differential equation which has {x, xex} as its fundamental set
In this case, the first point we have to remember is that we do not get a single value when we add two or more terms which are unlike in nature. This certainly ob
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