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Logarithm Functions : Now let's briefly get the derivatives for logarithms. In this case we will have to start with the following fact regarding functions that are inverses of ea
A piece of pipe is carried down a hallway i.e 10 feet wide. At the ending of the hallway the there is a right-angled turn & the hallway narrows down to 8 feet wide. What is the lo
Rates of Change or instantaneous rate of change ; Now we need to look at is the rate of change problem. It will turn out to be one of the most significant concepts . We will c
Interpretations of derivatives. Example: Find out the equation of the tangent line to x 2 + y 2 =9 at the point (2, √5 ) .
Find out all the numbers c that satisfy the conclusions of the Mean Value Theorem for the given function. f ( x ) = x 3 + 2 x 2 -
If α & ß are the zeroes of the polynomial 2x 2 - 4x + 5, then find the value of a.α 2 + ß 2 b. 1/ α + 1/ ß c. (α - ß) 2 d. 1/α 2 + 1/ß 2 e. α 3 + ß 3 (Ans:-1, 4/5 ,-6,
how to simplify fractions
Logarithmic functions have the following general properties If y = log a x, a > 0 and a ≠1, then The domain of the function
A polynomial satisfies the following relation f(x).f(1/x)= f(x)+f(1/x). f(2) = 33. fIND f(3) Ans) The required polynomial is x^5 +1. This polynomial satisfies the condition state
Define the Column Matrix or column vector.
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