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Calculus Solutions Handbook : A Comprehensive Collection of 150 Solved Problems - ROGERS K. STEVEN

Calculus Solutions Handbook

A Comprehensive Collection of 150 Solved Problems

By: ROGERS K. STEVEN

eBook | 11 June 2024

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In the book titled "Calculus Solutions Handbook: A Comprehensive Collection of 150 Solved Problems," we have selected questions from various calculus topics, including:

LIMITS AND CONTINUITY

Basic Limits

Limits at Infinity

L'H´pital's Rule on Limit

Continuity and Discontinuity

DIFFERENTIATION

Using tangent line formula

Using first principle

Derivative of a constant function

Power Rule

Constant Rule

Sum and Difference Rule

Product Rule

Quotient Rule

Chain Rule

Derivative of Exponential Function

Derivative of Logarithm Functions

Derivative of Trigonometric Functions

Derivative of Inverse Trigonometric Functions

Derivative of Hyperbolic Functions

Derivative of Inverse Hyperbolic Functions

MULTI DERIVATIVE

First derivative

Second derivative

Third derivative

APPLICATION OF DIFFERENTIATION

Velocity

Acceleration

INTEGRATION

Power Rule

Constant Rule

Sum and Difference Rule

Integration by Substitution

Integration by Part

Integration by Partial Fraction

Integration of Exponential Function

Integration of Logarithm Function

Integration of Trigonometric Functions

Integration of Inverse Trigonometric Functions

Integration of Inverse Hyperbolic Functions

ADVANCED DIFFERENTIATION

Partial Derivatives

Implicit Differentiation

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