use of differentiation

Introduction - The derivative, measures the rate at which the dependent variable changes with respect to the independent variable. It is one of the most important ideas in Calculus. The differentiation of functions are widely used in science, economics, medicine and computer sci..

Logarithmic Differentiation - When we want to differentiate a function of the form f(x) g(x), we use logarithmic differentiation.When we want to differentiate a function of the form f(x) g(x), we use logarithmic differentiation. ..

When we want to differentiate a function of the form f(x) g(x), we use logarithmic differentiation. Let y = f(x) g(x) Taking log on both sides, we have logy = g(x) logf(x). Differentiating with respect to x, we get, ..

After having studied functions, limits and continuity in the previous chapter, we shall further divide the class of continuous functions into two sub classes, derivable and non-derivable.After having studied functions, limits and continuity in the previous chapter, we shall further divide the class..

In this chapter, we have studied various techniques of differentiation. Also, we have studied the method of obtaining higher order derivatives of functions which is useful in maxima and minima problems.In this chapter, we have studied various techniques of differentiation..

is the degree of the highest order differential coefficient appearing in it, after all the differential coefficients are free from radical powers. To form a differential equation from a given equation in x, y and containing arbitrary constants. The given equation ..

In this section, we derive the formulaIn this section, we derive the formula and use it to differentiate quotients of function..

Molecular Basis of Differentiation - All the cells of an organism receive the complete set of genes (total information) present in the fertilized egg through mitotic divisions. However, cells of an early embryo lose the potential for the expression of all the genes through the processes o..

If 4 cy = 2sin ( cy + 29), then find y ′ using implicit differentiation. => - 1 c or - c y or - y c or y c or c y..

If 8 x + 3 y = 2, then find y′ using implicit differentiation. => 2 y - 3 8 - 2 x or 2 y - 3 8 + 2 x or 2 y + 3 8 + 2 x or 2 y + 3 8 - 2 x..