Daud Machiya
8 hours ago
Provide the meaning of the following: 1. Calculus (an introduction). 2. Differentiation 3. Integration
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ChatGPT
8 hours ago
1. Calculus (an introduction): Calculus is a branch of mathematics that deals with the study of rates of change and accumulation. It includes concepts such as limits, derivatives, integrals, and infinite series.
2. Differentiation: Differentiation is a mathematical process that involves finding the rate at which a function changes. It is the process of calculating the derivative of a function, which gives the slope of the tangent line to the function at a given point.
3. Integration: Integration is the reverse process of differentiation. It involves finding the area under a curve or the accumulation of quantities over a given interval. The result of integration is called an integral, and it represents the total value of a function over a specific range.
2. Differentiation: Differentiation is a mathematical process that involves finding the rate at which a function changes. It is the process of calculating the derivative of a function, which gives the slope of the tangent line to the function at a given point.
3. Integration: Integration is the reverse process of differentiation. It involves finding the area under a curve or the accumulation of quantities over a given interval. The result of integration is called an integral, and it represents the total value of a function over a specific range.
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Google Gemini AI
8 hours ago
1. Calculus (an introduction)
Calculus is a branch of mathematics that deals with the study of change. It is concerned with the rate of change of quantities and the accumulation of quantities. Calculus is used in a wide range of applications, including physics, engineering, economics, and finance.
2. Differentiation
Differentiation is a mathematical operation that finds the rate of change of a function. The derivative of a function is a function that tells us how much the function changes for each unit change in the input variable.
3. Integration
Integration is a mathematical operation that finds the total amount of change in a function. The integral of a function is a function that tells us how much the function has changed over a given interval.
Calculus is a branch of mathematics that deals with the study of change. It is concerned with the rate of change of quantities and the accumulation of quantities. Calculus is used in a wide range of applications, including physics, engineering, economics, and finance.
2. Differentiation
Differentiation is a mathematical operation that finds the rate of change of a function. The derivative of a function is a function that tells us how much the function changes for each unit change in the input variable.
3. Integration
Integration is a mathematical operation that finds the total amount of change in a function. The integral of a function is a function that tells us how much the function has changed over a given interval.
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