Final answer:
The objective of differentiation is to find the derivative of a function, which is a key operation in calculus, often used in fields like physics and engineering to solve problems involving rates of change.
The correct answer is 1).
Step-by-step explanation:
The objective of differentiation is to find the derivative of a function. Differentiation is a fundamental concept in calculus, which pertains to the mathematics of change and includes the study of limits, derivatives, integrals, and infinite series.
Engineering, physics, economics, and many other fields often utilize calculus to solve problems where the rate of change or relationship between variables is a factor.
In engineering, for instance, differential equations are used to model and solve problems involving functions and their derivatives. These equations are crucial for understanding dynamics in systems where variable change is linked to the function itself.
When we differentiate, we are looking at the ratio of change between two quantities, which is important for understanding concepts like velocity (change of position over time) and acceleration (change of velocity over time). Hence, dimensions and units in physical quantities are especially important in the context of derivatives.