What is the derivative of g(x) = 3x − 1? (at any point x)
For a line y = kx + b the slope (derivative) is k everywhere.
What is f'(4) for f(x) = x²?
Derivative (x²)' = 2x. Plug in x = 4.
A car drives 60 km/h. s(t) = 60t. What is s'(t) (instantaneous speed)?
At constant speed, derivative of distance w.r.t. time = speed.