You will find several formulae in the Wikipedia article on "derivative".
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.
2 x 2 = 4. 4 is a constant. The derivative of a constant is always 0. Therefore, The derivative of 2 x 2 is zero.
we have to find out dy/dx of sinx0 ----
Chain Rule Definition: 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. I am not the best in calculus so you might want to check out some chain rule example videos from the links.
The derivative of sin(x) is cos(x).
You take the derivative using only one variable. The other variables act as constants.
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
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.
The derivative of x^n is nx^(n-1) any n. The derivative of x^4 is 4x^3.
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
Find the derivative
This is really too vague. There are tables for derivatives of common functions. There are rules for taking derivatives of polynomials. The derivative of f(x) is found by taking the limit of (f(x + ?x) - f(x))/?x, as ?x approaches zero.
Afetr you take the first derivative you take it again Example y = x^2 dy/dx = 2x ( first derivative) d2y/dx2 = 2 ( second derivative)
Virtually everywhere; in fact the entire notion of the derivative of a function is based on slope. Both slope and derivative have uses in real life, e.g. your position, speed and acceleration can be calculated using either. Or, you could find the derivative of a logistics curve (a curve that models population growth), etc.