differentiate a variable with respect to 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 differentiableh..

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 ..

In this chapter we have the formation of differential equations and also some methods of solving the differential equations namely, variables separable methods, homogeneous differential equations and linear differential equations.In this chapter we ..

Conclusion Differential Equations - In this chapter we have the formation of differential equations and also some methods of solving the differential equations namely, variables separable methods, homogeneous differential equations and linear d..

Differentiating equation (1.7) with respect to x, We get, The velocity of the particle whose displacement y is represented by equation (1.7), is obtained by differentiating it with respect to t, since velocity is the rate of change of displacement with h..

A differential equation is said to be a homogeneous differential equation. If it is of the form where f and g are homogenous functions, in x and y of the same degre..

Let f be a function and a be any point in its domain. Let h>0 be a small number. f(x) is said to be differentiable if exists and is denoted by f | (a), then f | (a) is called the derivative or differential coefficient of f(x) at x = a. That ..

Let y = u. v, where both u and v are differentiable functions of x.Let y = u. v, where both u and v are differentiable functions of x. or (u.v)' = u.v' + v..

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..

Quotient Rule for Differentiation - In this section, we derive the formulaIn this section, we derive the formula and use it to differentiate quotients of functions..