If I want to find the gradient at a point...

If I want to find a point with a certain gradient...

If I want to find a maximum...

If I want to find the distance at a point in time...

If I want to find the acceleration at a point in time...

If I want to find the speed at a point in time...

If I want to find the original function...

Find the rate of change at a point...

If I want to find the equation of a tangent...

If I want to find the equation of a normal...

If I want to find out where a function is increasing...

If I want to find out where a function is decreasing...

If I want to prove a point is a maximum (or a minimum)...

If I want to find a point on the original curve or function...

If I want to sketch the gradient function from a function...

If I want to sketch a function from a gradient function.