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Quotient Rule for Differentiation
Quotient Rule for Differentiation - In this section, we derive the formulaIn this section, we derive the formula and use it to differentiate quotients of function..
Working Rules to find derivatives
Derivability implies continuity Derivative of a constant function is zero. ..
Working Rule for Finding Extremum Values Using First Derivative Test
Let f (x) be the real valued differentiable functio..
Derivative of a Function of a Function
The differentiation of function of a function is known as 'chain rule'. The chain rule is probably the most widely used differentiation rule in mathematics. If y is a differentiable function of u and u is a differentiable function of x, then the deriva..
Derivative of a Function of a Function
So far, we know how to differentiate functions like sin x and x 3 - 5. But how do we differentiate a function of a function? That is how can we differentiate sin (x 3 - 5)?So far, we know how to differentiate functions like sin x and x 3 - 5. But how do we differentiate a function of a function? Th..
Naming Benzene Derivatives
nomenclature for  trisubstituted derivatives . When the three substituent groups are identical (say, A), three arrangements are possible. These are termed as follows. vicinal (vic-) unsymmetrical (unsym-) symmetrical (sym-) For a trisubstituted product, if the two substituents are identical and the third different, then six products are possi..
Product Rule for Differentiation
'Derivative of the product of two functions = first function x derivative of second function + second function x derivative of first function..
What should be the sign of the integers, if quotient of two integers i..
What should be the sign of the integers, if quotient of two integers is positive? => Either both the integers should be positive or both negative. or Numerator is negative and denominator is positive. or Numerator is positive and denominator is negative. or None of the..
Rules for Determining the Number of Significant Figures
All non-zero digits are significant. For example, 6.9 has two significant figures, while 2.16 has three significant figures. The decimal place does not determine the number of significant figures. A zero becomes significant in case it comes in between non zero numbers. For example, 2.003 has f..
Rules for Writing Equilibrium Constant Expressions
Expression for the equilibrium constant of a reaction is written in the form of a ratio. The numerator consists of the molar concentration (or partial pressure) terms of the products each raised to a power equal to its stoichiometric coefficient in the balanced chemical equation, and th..
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