Approximations by Differentials
Approximations by Differentials - Let y = f (x) be a differentiable function of x, errors in x and y are denoted by d x and d y, we have \ Error in y = f ' (x) d ..
Approximations by Differentials - Let y = f (x) be a differentiable function of x, errors in x and y are denoted by d x and d y, we have \ Error in y = f ' (x) d ..Differentiation from First Principles
Let y = f (x). The derivative of f at x is denoted by f '(x). Finding the derivative of a function using the above definition is called differentiation from first principle..
Let y = f (x). The derivative of f at x is denoted by f '(x). Finding the derivative of a function using the above definition is called differentiation from first principle..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 hav..
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 hav..Formation of a Differential Equation
The equation y = mx has one arbitrary constant and its differential equation is of order 1. The equation y = mx + c has two arbitrary constants and its differential equation is of order ..
Solution of a Differential Equation
Solution of a Differential Equation: The functional relation-ship between the independent variable and the dependent variable (such as y = f(x)) which satisfies the given differential equation is called the solution of the differentialh..
Formation of a Differential Equation
Formation of a Differential Equation - Consider the family of lines represented by y = mx .(1)Consider the family of lines represented by y = mx .(1) This equation represents infinite number of lines passing through the origin. Differentiatingh..
Formation of a Differential Equation - Consider the family of lines represented by y = mx .(1)Consider the family of lines represented by y = mx .(1) This equation represents infinite number of lines passing through the origin. Differentiatingh..Homogeneous Differential Equation
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..
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..Differential equation for wave motion
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 displacem..
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 displacem..Differentiation of Parametric Functions
Differentiation of Parametric Functions - If x=f(t) and y=g(t), where x and y are dependant on the independent variable t, thenIf x=f(t) and y=g(t), where x and y are dependant on the independent variable t, then t is called the paramet..
Differentiation of Parametric Functions - If x=f(t) and y=g(t), where x and y are dependant on the independent variable t, thenIf x=f(t) and y=g(t), where x and y are dependant on the independent variable t, then t is called the paramet..ApproxiMations by Differentials Let y = f (x) be a differentiable function of x, errors in x and y are denoted by d x and d y, we have \ Error in y = f ' (x) d ..
Let y = f (x) be a differentiable function of x, errors in x and y are denoted by d x and d y, we have \ Error in y = f ' (x) d ..See what our Users say :
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