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The 80 pages that link to Derivative, each with the reason it gives.

• Linear approximationBroader topic: Its value at the expansion point supplies the approximation’s slope.

• Logistic functionRelated: The logistic function’s derivative is proportional to the function times one minus itself.

• Related ratesNarrower topic: Each unknown rate in a related-rates problem is a derivative.

• Secant methodRelated: The secant method estimates this quantity from function values rather than evaluating it.

• Bernoulli's inequalityRelated: The derivative at zero determines the slope of the linear expression in the bound.

• Hyperreal numberRelated: A derivative can be expressed as the standard part of a hyperreal difference quotient.

• Leibniz notationNarrower topic: The derivative is the operation represented by dy/dx.

• One-sided limitRelated: At domain boundaries, a derivative may be defined using only one approach direction.

• Real-valued functionRelated: For real-valued functions, derivatives quantify local output change when the domain supports differentiation.

• Constant functionRelated: Every differentiable constant function has derivative zero throughout its domain.

• Differentiable functionRelated: It is the linear map that defines differentiability at a point.

• Parametric equationRelated: Coordinate derivatives reveal the direction and speed of a parameterized curve.

• Constant of integrationNarrower topic: The derivative is the operation that cannot detect an added constant.

• Guillaume de l’HôpitalRelated: Derivatives are the central objects developed in l’Hôpital’s calculus text.

• Logarithmic differentiationNarrower topic: Logarithmic differentiation is a technique for finding this quantity.

• Second derivativeNarrower topic: The second derivative is obtained by differentiating this function again.

• Cauchy's mean value theoremNarrower topic: The theorem links a ratio of derivatives to a ratio of finite differences.

• Time derivativeNarrower topic: A time derivative is the derivative whose input is time.

• Brook TaylorRelated: Successive derivatives supply the coefficients in Taylor’s expansion.

• Cubic functionRelated: The derivative of a cubic is quadratic and locates its stationary points.

• Faà di Bruno's formulaBroader topic: The order-one case reduces directly to the ordinary chain rule.

• Instantaneous velocityNarrower topic: Instantaneous velocity is the derivative of position with respect to time.

• Metre per second squaredRelated: Acceleration is the time derivative of velocity.

• Stolz–Cesàro theoremRelated: The theorem is a discrete analogue of comparing derivatives to evaluate quotient limits.

• Denjoy–Luzin theoremNarrower topic: The theorem applies to derivatives, whether or not those derivatives are continuous.

• Differentiation of trigonometric functionsNarrower topic: Trigonometric differentiation is a collection of derivative rules for specific functions.

• Differentiation rulesNarrower topic: Every differentiation rule computes this quantity from a function’s structure.

• Function of a real variableRelated: It measures local change in the output as the real input varies.

• Interior extremum theoremNarrower topic: The theorem’s one-dimensional conclusion is stated in terms of this quantity.

• Standard part functionRelated: An infinitesimal difference quotient yields the derivative after taking its standard part.