- #1
10min
- 7
- 0
Homework Statement
Find derivative of function?
if f(x) = (x^2 + 3x -2 ) (x^3-4)
Find f`(x)
Homework Equations
FOIL or Multiply both
The Attempt at a Solution
I get
5x^4 + 12x^3 - 6x^2 -8x-12
is this right?
10min said:Homework Statement
Find derivative of function?
if f(x) = (x^2 + 3x -2 ) (x^3-4)
Find f`(x)
Homework Equations
FOIL or Multiply both
The Attempt at a Solution
I get
5x^4 + 12x^3 - 6x^2 -8x-12
is this right?
A derivative is a mathematical concept that represents the rate of change of a function at a specific point. It tells us how much the function is changing at that point, and in what direction.
Finding the derivative of a function allows us to analyze the behavior of the function, such as finding maximum and minimum values, determining the slope of a tangent line, and understanding the rate of change of the function over a specific interval.
The derivative of a function is found by using the rules of differentiation, which involve finding the limit of a difference quotient. These rules include the power rule, product rule, quotient rule, and chain rule.
No, not all functions have derivatives. For a function to have a derivative, it must be continuous and have a defined slope at every point. Functions that have discontinuities, sharp corners, or vertical tangents do not have derivatives.
The derivative of a function represents the instantaneous rate of change of the original function at a specific point. It can also be thought of as the slope of the tangent line to the function at that point. The derivative and the original function are closely related, and finding the derivative allows us to better understand and analyze the behavior of the original function.