Cacophony said:Do i bring the 2 in front to get 28x? Or do I use the chain rule?
A derivative is a mathematical concept that represents the rate of change of a function at a specific point. It can also be thought of as the slope of a tangent line to the function's graph at that point.
The derivative is important because it allows us to analyze how a function is changing at a specific point. It has many applications in fields such as physics, engineering, economics, and more.
The derivative of a function can be calculated using various methods, such as the power rule, product rule, quotient rule, and chain rule. It involves finding the limit of the difference quotient as the change in the independent variable approaches zero.
A derivative measures the rate of change of a function, while an integral measures the accumulation of that function over a given interval. In other words, a derivative tells us how a function is changing, while an integral tells us the total amount of change.
Yes, a derivative can be negative. This occurs when the slope of the tangent line is downward or when the function is decreasing at that point. In this case, the derivative represents the rate of decrease of the function at that point.