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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
X^2 – y^2 – 2y - 1
Example of Rounding Off: Example: Round off the subsequent number to two decimal places. 6.238 Solution: Step 1: 8 is the number to the right of t
-255=-14t-t
To find sq root by the simple step... root (-i)=a+ib............... and arg of -i= -pi/2 or 5pi/2
regression line drawn as Y=C+1075x, when x was 2, and y was 239, given that y intercept was 11. calculate the residual
How do you find the maxima or minima on a parabolic graph?
Find out the area of the region bounded by y = 2 x 2 + 10 and y = 4 x + 16 . Solution In this case the intersection points (that we'll required eventually) are not going t
1. Find the APY for the bank described below- A bank offers an APR of 4% compounded monthly. 2. Use the compound interest formula to compute the balance in the following a
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Ask question #Minimum 100 words accMick invested $5516 in an account at 14% compounded quarterly. Calculate the total investment after 1 years.
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