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To solve derivatives of monomials, use as the general term:
When f(x)=xn, f'(x)[the derivative]=nxn-1Example 1: 2x6 = 2(6)x6-1
= 12x5
Example 2: 3x = 3(1)x1-1
=3x0
=3
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Formulae in derivative?
You will find several formulae in the Wikipedia article on "derivative".
What does the derivative at a point mean?
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.
How do you find the mean of x over y equals a over b?
Find the derivative of Y and then divide that by the derivative of A
How do you find the derivative of y equals 7e-6x?
13
What is the purpose of finding 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.
How do you find the derivative of x4?
The derivative of x^n is nx^(n-1) any n. The derivative of x^4 is 4x^3.
Find derivative of sinx using first principle?
The derivative of sin(x) is cos(x).
How do you find second derivative of a function?
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
How do you find rate of change if change is not constant?
Find the derivative
What is the anti-derivitive?
The inverse operation to the derivative. Also called the integral. If you're given the derivative of a function, you can find the function again by performing the antiderivative. Many answers will be possible, all differing by a single number, so you normally add a general constant to the end. Example : The derivative of 6x^2 is 12x. The antiderivative of 12x is 6x^2 + any number.
What is the third derivative of lnx?
The third derivative of ln(x) is -2/(x^3). To find the third derivative, we first find the first derivative of ln(x), which is 1/x. The second derivative is -1/x^2, and the third derivative is 2/(x^3) after applying the power rule for differentiation.
How do you find the second derivative?
Afetr you take the first derivative you take it again Example y = x^2 dy/dx = 2x ( first derivative) d2y/dx2 = 2 ( second derivative)
