Publisher's Synopsis
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'Hôpital'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