- #1
Sirsh
- 267
- 10
The tangent to the curve y=ax^3 at the point (-1,b) is perpendicular to the line y = 2x+3. Find the values of a and b.
Could someone show me how to answer that?
Could someone show me how to answer that?
Simple differentiation is a mathematical process used to find the rate of change of a function at a specific point. It involves finding the slope of the tangent line to the function at that point.
The purpose of simple differentiation is to calculate the instantaneous rate of change of a function at a specific point. This can be useful in various applications, such as finding the velocity of an object at a particular time or the growth rate of a population.
Simple differentiation involves finding the rate of change at a single point, while complex differentiation involves finding the rate of change over a range of values. Simple differentiation uses basic differentiation rules, while complex differentiation may require the use of more advanced techniques.
Simple differentiation is commonly used in physics, economics, and other fields to analyze and model real-world phenomena. It can be used to calculate velocity, acceleration, growth rates, and other important quantities.
To perform simple differentiation, you can use the power rule, product rule, quotient rule, or chain rule, depending on the function you are differentiating. You can also use tables or graphs to help visualize the process. It is important to have a strong understanding of basic algebra and calculus principles before attempting simple differentiation.