Derivatives Of Various functions
Below there are various functions. In the first two, there is a slider that represents the tangent line at that point. The trace (graph or the IROC / graph of the derivative) is the slope of the tangent line at that point. Using the trace function, answer the first 2 questions.
What is f'(x) when f(x)= sinx ?
what is f'(x) when f(x)=cosx
Using the slider for 'a,' where is the graph for f(x) and f'(x) the same? how does 'a' affect the derivative?
For what values of a are f and f' the same (or close to the same)?