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Carboxylic Acids and its Derivatives - Introduction
Carbon compounds containing a carboxyl functional group -COOH are called carboxylic acids. A carboxyl group is constituted of two groups - a carbonyl group and a hydroxyl group -OH. Carboxylic acids may be aliphatic (R-COOH) or aromatic (Ar-COOH) depending on whether -COOH group is attached..
Carbon compounds containing a carboxyl functional group -COOH are called carboxylic acids. A carboxyl group is constituted of two groups - a carbonyl group and a hydroxyl group -OH. Carboxylic acids may be aliphatic (R-COOH) or aromatic (Ar-COOH) depending on whether -COOH group is attached..Derivative of a Constant of a Function
Let f (x) = k u(x) where k is a constant and u = u(x), x R, be a differential function of x. We then have ..
Let f (x) = k u(x) where k is a constant and u = u(x), x R, be a differential function of x. We then have ..Derivative of the Logarithmic Function
Let f(x) = log e x (x > 0). Then ..
Let f(x) = log e x (x > 0). Then ..Derivative of tan x
Let f(x) = tan x. Then, we have ..
Let f(x) = tan x. Then, we have ..Derivative of Sum of Two Functions
Let y = u + v, where u and v are differentiable functions of x. or (u + v)' = u' + ..
Let y = u + v, where u and v are differentiable functions of x. or (u + v)' = u' + ..Right Hand Derivative
Let f be a function of x (y=f(x)). Let a be a point in the domain of f. The RHD of f at a is defined as where h>0, provided the limit exist..
Let f be a function of x (y=f(x)). Let a be a point in the domain of f. The RHD of f at a is defined as where h>0, provided the limit exist..Interpretation of Derivative at a Point
Physical Significance: Let Q (t) be a quantity that changes with time 't'. Let D t be the increment given to 't' and D Q be the corresponding increment in Q, then is called the average rate of change of Q with respect to 't'. (Also known as Newton - quotient of f at t..
Physical Significance: Let Q (t) be a quantity that changes with time 't'. Let D t be the increment given to 't' and D Q be the corresponding increment in Q, then is called the average rate of change of Q with respect to 't'. (Also known as Newton - quotient of f at t..See what our Users say :
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