The value is known for a differentiable function .
MATHEMATICS · Multi-part · AP · Calculus AB · Contextual Applications of Differentiation · Contextual Applications of Differentiation
Problem
The value f′(5)=−3 is known for a differentiable function y=f(x).
(i) Rewrite this information using Leibniz notation.
(ii) Interpret the statement in part (i) verbally, mentioning the rate of change and the point of evaluation.
(iii) Explain what the negative sign of the derivative indicates about the behaviour of the function near x=5."