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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
# In a two-digit, if it is known that its unit''s digit exceeds its ten''s digit by 2 and that the product of the given number and the sum of its digits is equal to 144, then the
Sketch the graphs of the following functions: (A) y = 1/(x 2 +1) (b) x= sin x,
Q. What is set theory? Define universal set? Ans. The universe , or universal set , written as U , is the set that contains all elements being considered in a given dis
a3-a2+a-1
1/2 + 2/8 =
107*98
Measures of Dispersion - The measures of dispersion are extremely useful in statistical work since they indicate whether the rest of the data are scattered away from the mean
jenna asked 100 of her schoolmates if they have had their first kiss and 43 of them said yes
Sharon purchased six adult movie tickets. She spent $43.50 on the tickets. How much was each ticket? To ?nd out the price of each individual ticket, you should divide the total
show that all primes except 2, are of the form 4n-1 or 4n+1.
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