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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
Physical fitness association 1 mile run. It is known to have a normal distribution, mean 450 sec. SD 50 sec. How many in the top 10% fastest runners? Need to know what time they ha
show that all primes except 2, are of the form 4n-1 or 4n+1
The production manager of Koulder Refrigerators must decide how many refrigerators to produce in each of the next four months to meet demand at the lowest overall cost. There is a
1+2x
what is 6/36 as two equivalent fractions 2/12 as two equivalent fractions 4/28 3/21 2/11 4/13=8/x 12/30=n/90 q/54=2/9 3/7 14/h=7/20
Universal set The term refers to the set which contains all the elements such an analyst wishes to study. The notation U or ξ is usually used to denote universal sets.
If α,β are the zeros of a Quadratic polynomial such that α + β = 24, α - β = 8. Find a Quadratic polynomial having α and β as its zeros.
5.6:4=x:140
2=42gf
Exercise 12c question number 24
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