On a set of axes

MATHEMATICS · Subjective · AP · Calculus AB · Differentiation: Definition and Fundamental Properties · Differentiation: Definition and Fundamental Properties

Problem

On a set of axes, one square on the horizontal axis represents 2 units of x and one square on the vertical axis represents 5 units of y. Near

x = 4

, the tangent to the graph of a differentiable function

r

rises one grid square for every two grid squares of run to the right. Estimate

r'(4)

in actual units.

Related theory

Derivative Foundations
Differentiation from first principles
Intuitive idea of derivatives
Limits and Derivatives

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