Math Book for High Schools and Colleges on Differential Calculus, Statistics, and Probability

Differential Calculus, Statistics, and Probability is an invaluable resource for students in high schools and higher education institutions, serving as a helpful companion for those preparing for college entrance exams or university admissions tests. This textbook offers a comprehensive, step-by-step explanation of complex mathematical topics in a manner that is easy to comprehend.

The unique feature of this book lies in its detailed approach to explaining differential calculus, statistics, and probability concepts. Rather than simply providing answers to problems, the book guides readers through each step of the problem-solving process in clear and simple English. This approach makes it accessible to students of all levels of experience, making the study of mathematics more engaging and stimulating.

The topics covered in this math book include:

• Limit of a Function
• Differentiation from First Principles
• General Rules of Differentiation and Composite Functions
• Product Rule of Derivatives
• Quotient Rule of Derivatives
• Derivatives of Parametric Equations
• Derivatives of Implicit Functions
• Derivatives of Trigonometric Functions
• Derivatives of Inverse Functions
• Derivatives of Inverse Trigonometric Functions
• Derivatives of Hyperbolic Functions
• Derivatives of Logarithmic Functions
• Derivatives of Exponential Functions
• Logarithmic Differentiation
• Derivatives of One Function with Respect to Another
• Higher Derivatives (Successive Differentiation)
• Miscellaneous Problems on Differential Calculus
• Collection and Tabulation of Data
• Mean, Median, and Mode of Ungrouped Data
• Collection and Tabulation of Grouped Data
• Mean, Median, and Mode of Grouped Data
• Mean Deviation
• Variance and Standard Deviation
• Quartiles and Percentiles by Interpolation Method
• Basic Theory of Probability
• Probability on Simple Events
• Probability on a Pack of Playing Cards
• Probability on Tossing Coins
• Probability on Throwing Dice
• Miscellaneous Problems on Probability

Differential Calculus, Statistics, and Probability takes a self-guided approach, allowing students to progress through the material at their own pace. The book simplifies complex calculations into manageable steps, providing a solid foundation for mastering problem-solving skills in these areas of mathematics. With its abundance of worked examples, this textbook is an essential tool for students looking to enhance their critical thinking and analytical abilities.

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