Q: Find the derivative of xsinx by first principle?

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Derivative of sin x = cos x, so chain rule to derive 8x = 8 , answer is 8cos8x

Chain Rule You can use the chain rule to find the derivative of the composite of two functions--the derivative of the "outside" function multiplied by the derivative of the "inside" function. The chain rule is related to the product rule and the quotient rule, which gives the derivative of the quotient of two functions.If you want example problems about the chain rule you should check out the related links!Hope this answers your question!

The first derivative is set to zero to find the critical points of the function. A critical point can be a minimum, maximum, or a saddle point. There's a reason for this. Suppose a differentiable function f:R->R has a maximum at x=a. Then the function goes down to the right of a, which means f'(a)

Take the derivative of the function and set it equal to zero. The solution(s) are your critical points.

Related questions

The derivative of sin(x) is cos(x).

Afetr you take the first derivative you take it again Example y = x^2 dy/dx = 2x ( first derivative) d2y/dx2 = 2 ( second derivative)

All it means to take the second derivative is to take the derivative of a function twice. For example, say you start with the function y=x2+2x The first derivative would be 2x+2 But when you take the derivative the first derivative you get the second derivative which would be 2

you have to first find the derivative of the original function. You then make the derivative equal to zero and solve for x.

At the point of inflexion:the first derivative must be zero. the second derivative must be zero, if the next derivative is zero then the one following that must also be zero.

First find the derivative of each term. The derivative of any constant is zero, so d(1)/dx=0. To find the derivative of cos2x, use the chain rule. d(cos2x)/dx=-sin(2x)(2)=-2sin(2x) So the answer is 0-2sinx, or simply -2sinx

You will find several formulae in the Wikipedia article on "derivative".

The derivative at any point in a curve is equal to the slope of the line tangent to the curve at that point. Doing it in terms of the actual expression of the curve, find the derivative of the curve, then plug the x-value of the point into the derivative to find the derivative at that point.

Find the derivative of Y and then divide that by the derivative of A

Set the first derivative of the function equal to zero, and solve for the variable.

The derivative of x^n is nx^(n-1) any n. The derivative of x^4 is 4x^3.

The purpose of finding a derivative is to find the instantaneous rate of change. In addition, taking the derivative is used in integration by parts.