derivatives using quotient rule

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..

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

Derivability implies continuity Derivative of a constant function is zero. ..

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 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..

Conclusion - In this chapter we have learnt the application of derivatives to rate measure, also we have used the geometrical measurement of dy/dx to find the equations of the tangent and normal to a curve at any point on the curve, angle of intersection of the curve..

During aerobic respiration oxygen is consumed and carbon dioxide is evolved. The ratio of the volume of carbon dioxide produced to the volume of oxygen consumed in respiration over a period of time is called respiratory quotient (RQ..

Choose the rule that is used in the table. => add 5 or add 6 or subtract 7 or subtract 5..

While writing a unit, only its singular form is used. The abbreviation does not have a full stop. The sign of degree ( o ) is omitted when Kelvin scale is used. Unit combinations should be indicated by means of either a dot or leaving space in between. Metre Kelvin ..

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