uses of derivatives

Let f (x) be the real valued differentiable functio..

Differential calculus can be considered as mathematics of motion, growth and change where there is a motion, growth, change. Whenever there is variable forces producing acceleration, differential calculus is the right mathematics to apply. Application of derivatives are used..

Polyhalogen Derivatives - Carbon tetrachloride - Many polyhalogenated hydrocarbons find important use as industrial solvents, pesticides, refrigerants, medicines, inert lining of cooking utensils, etc. Some useful chloro compounds a..

Introduction - Let us began this chapter with the following statement: Often a physician may want to test how small changes in dosage can affect the body's response to a particular drug. An economist may want to study how investment changes with variation in interest rates. How the velocity of a he..

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 derivative of y with ..

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 h..

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..

Find the derivative of g ( s ) = 5 (ln 2 s ) + 31 using the definition of derivative. => 10 s or 5 s or 5 s or 1 1 0 s or 5 2 s..

Find the derivative of g ( y ) = 1 3 y + 1 7 using the definition of derivative. => - 1 3 2 1 3 y + 1 7 or 2 1 3 y + 1 7 1 3 or 1 3 2 1 3 y + 1 7 or 1 3 1 3 y + 1 7 2 or 1 2 6 1 3 y + 1 7..

Find the derivative of f ( x ) = 1 6 9 x + 1 2 using the definition of derivative. => 1 4 4 ( 9 x + 1 2 ) 2 or - 1 4 4 ( 9 x + 1 2 ) 2 or - 9 ( 9 x + 1 2 ) 2 or 16 9 ( 9 x + 1 2 ) 2 or 9 ( 9 x + 1 2 ) 2..