Practice Problems on Derivative Rules

Problem 1. Find the derivative of (x2+4)/x+1.

Problem 2. Find the derivative of log(2x)/x.

Problem 3. Find the derivative of tan(sin(x)).

Problem 4. Find the derivative of 9x6 + 2x.

Problem 5. Find the derivative of sin(x) + 3x2 + log(x).cos(x).

Derivative Rules

Derivative Rules are a set of rules that need to be followed while differentiating different functions. Rules of Derivative are also called Differentiation Rules. Differentiation or derivatives is a method of finding the change in a value to some other value.

Derivative helps us find the instant rate of change of a quantity at a specific point. Some functions can be differentiated directly, but in certain cases, we use rules of derivatives to find the derivative of a function. These rules of derivatives help us to solve the problem easily and efficiently. In this article, we shall discuss the Rules of Derivatives in detail.

Table of Content

  • What are Rules of Derivatives?
  • Different Rules of Derivatives
  • Derivative Rules for Various Functions
  • Partial Derivative Rules
  • Solved Examples on Derivative Rules

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What are Rules of Derivatives?

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Different Rules of Derivatives

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Derivative Rules for Various Functions

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Partial Derivative Rules

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Solved Examples on Derivative Rules

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Practice Problems on Derivative Rules

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FAQs on Derivative Rules

What are 7 rules of derivatives?...