## What are the basic rules of differentiation?

What are the basic differentiation rules?

- The Sum rule says the derivative of a sum of functions is the sum of their derivatives.
- The Difference rule says the derivative of a difference of functions is the difference of their derivatives.

### What are the four rules of differentiation?

Rules of Differentiation of Functions in Calculus

- 1 – Derivative of a constant function.
- 2 – Derivative of a power function (power rule).
- 3 – Derivative of a function multiplied by a constant.
- 4 – Derivative of the sum of functions (sum rule).
- 5 – Derivative of the difference of functions.

**What is the differentiation of 0?**

The derivative of 0 is 0. In general, we have the following rule for finding the derivative of a constant function, f(x) = a.

**What is the derivative of E 2x?**

2e2x

The derivative of e2x is 2e2x. Mathematically, it is written as d/dx(e2x) = 2e2x (or) (e2x)’ = 2e2x.

## What is the derivative of 6x?

Since 6 is constant with respect to x , the derivative of 6x with respect to x is 6ddx[x] 6 d d x [ x ] .

### What are differentiation rules?

This is a summary of differentiation rules, that is, rules for computing the derivative of a function in calculus .

**What are the different types of differentiation methods?**

Power Rule. Sum and Difference Rule. Product Rule. Quotient Rule. Chain Rule. Let us discuss these rules one by one, with examples. Also, read Differentiation method here at BYJU’S.

**How to calculate the derivative of a composition of differentiable functions?**

Let u (x) and v (x) be differentiable functions. Then the product of the functions u (x)v (x) is also differentiable. 3. Chain Rule The chain rule calculate the derivative of a composition of functions. This process can be extended for quotient rule also.

## Is it possible to execute differentiation rules using Python?

I will go over through differentiation rules in the easiest way possible, providing examples which you can execute using python. The areas covered in this how to install SymPy, and go through the following: