- #1
EIRE2003
- 108
- 0
What are the rules for differentiating tan, sin & cos?
I know cos = -sin
tan = sin/cos?
I know cos = -sin
tan = sin/cos?
Differentiation is a mathematical process used to find the rate of change of a function at a specific point. It involves finding the derivative of a function, which represents the slope of the tangent line to the function at that point.
Differentiation is important because it allows us to analyze how a function is changing at a specific point. This is useful in many fields, such as physics, economics, and engineering, where understanding rates of change is crucial.
To differentiate a function, you need to use the rules of differentiation, which include the power rule, product rule, quotient rule, and chain rule. These rules allow you to find the derivative of any function, as long as the function is differentiable.
While differentiation involves finding the rate of change of a function, integration involves finding the cumulative effect of a function over a given interval. In other words, differentiation is like zooming in on a function, while integration is like zooming out.
No, differentiation can only be applied to differentiable functions, which are functions that are smooth and continuous with no abrupt changes. Some functions, such as step functions or absolute value functions, are not differentiable at certain points.