Final answer:
The slope of the line tangent to a curve can be found using differentiation, which is the process of finding the derivative of the function representing the curve. The derivative represents the slope of the tangent line at any given point on the curve.
Step-by-step explanation:
The slope of the line tangent to a curve can be found using the process of differentiation. Differentiation is the mathematical operation used to find the derivative of a function, which represents the slope of the tangent line at any given point on the curve. The derivative is one of the fundamental concepts in calculus and is used to analyze rates of change.
For example, if we have a function f(x) and we want to find the slope of the tangent line at a specific point, we can find the derivative of f(x) and evaluate it at that point to obtain the slope. The derivative can be obtained using different rules and formulas depending on the type of function we are working with.
Therefore, the correct option to find the slope of the line tangent to the curve is 1) Differentiation.