Liam's bread and butter
1) Equation of the tangent at a given point.

Step 1) Write out y=mx+c
Step 2) Get the derivative, then sub in the given value or variable.
Step 3) Now you have the y values, x value and m value. So you can put those into y=mx+c and solve for c.
Step 4) Once you have C write out the full equation.
2) System of equations.
3) Maximum/minimum problems.
4) Solving the area of a shape using calculus.
5) Models of exponential equations.
6) Finding where two lines intersect.