From nature, we Derived that we humans have our own Limits. Calculus would be any math students nightmare. But Limits and Derivatives which make up about half of the calculus are like an oasis in the desert of difficulty. Let’s get a good grasp on these subjects from the topics below.
- Direct Method
- First Principle of Differentiation
- Algebra of Derivative of Functions
- Standard Simplifications
- Sandwich Theorem and Trigonometric Functions
FAQs on Limits and Derivatives
Question 1: What is the relation between limit derivatives and integrals?
Answer: The linking of derivative and integral in such a way that they are both defined via the concept of the limit. Moreover, they happen to be inverse operations of each other. This characteristic is called the fundamental theorem of calculus. Also, both of them are fundamental to modern science.
Question 2: What is meant by limit in differential calculus?
Answer: Limit refers to the value that a sequence or function approaches” as the approaching of the input takes place to some value.
Question 3: Can we say that the derivative is a slope?
Answer: Yes, we can say that derivative is a slope. This is because the derivative measures the steepness of the graph’s steepness belonging to a function at a specific point present on the graph.
Question 4: Differentiate between derivatives and integral?
Answer: Integral of a function refers to area under the curve of the mathematical function f(x) whose plotting takes place as a function of x. In contrast, derivative of a function refers to the slope of the curve of the mathematical function f(x) whose plotting takes place as a function of x.