[
    "You differentiate a function to find its slope at a specific point.",
    "You calculate the derivative of a polynomial expression.",
    "You analyze the continuity of a function using differentiability.",
    "You study the concept of differentiability in calculus.",
    "You apply the chain rule to differentiate a composite function.",
    "You investigate functions that are not differentiable at certain points.",
    "You learn about differentiability as a fundamental concept in calculus.",
    "You explore the relationship between continuity and differentiability."
    "You use the limit definition of a derivative to evaluate differentiability.",
    "You encounter functions with sharp corners that are not differentiable.",
    "You discuss the importance of differentiability for determining critical points.",
    "You solve problems involving differentiability and local extrema.",
    "You explore the concept of differentiability in higher dimensions.",
    "You calculate partial derivatives to determine differentiability in multivariable functions.",
    "You apply implicit differentiation to find derivatives in implicit equations.",
    "You investigate the differentiability of functions at points of inflection.",
    "You study the concept of differentiability in the context of optimization problems.",
    "You research differentiability as a key property of smooth functions.",
    "You analyze the behavior of functions near points of non-differentiability.",
    "You encounter functions with jump discontinuities that are not differentiable.",
    "You explore differentiability constraints in mathematical modeling.",
    "You study the connection between differentiability and Taylor series expansion.",
    "You investigate the differentiability of piecewise functions.",
    "You explore differentiability in the context of differential equations.",
    "You apply the concept of differentiability to analyze the rate of change in real-world scenarios.",
    "You study differentiability as a criterion for the existence of the derivative.",
    "You explore examples of functions that are continuous but not differentiable.",
    "You examine the role of differentiability in approximating functions locally.",
    "You investigate the relationship between differentiability and smoothness in function spaces."
]