`f(theta) = 4sin(theta) - theta, (0,0)` Find the slope of the graph of the function at the given point. Use the derivative feature of a graphing utility to confirm your results.
Take the derivative. Be careful that the derivative of theta with respect to theta is one!
Substitute the point given to determine the derivative: ` `
The graph of the derivative function,, is:
We can easily see that the derivative at zero is 3.