Unit 1?

What do you have to remember about solving derivatives of “e”

Even though you cannot derive it, you still must rewrite the 2 separate derivatives of each for the product rule.

When do derivatives not exist

What possible wording could mean you need to find the derivative

• rate of change

• acceleration

Kind of like the rate of change of the revenue

It has to be the same variable as the F(…) for you to find it’s derivative

What is the difference between the secant line and tangent line

Secant line is like the line from point X to point A and the tangent line is like the line from point X to point A as X approaches A.

What is the equation for a tangent line

y=f(a)+f′(a)(x−a)

What is point slope form

y = y₀ + m(x − x₀)

What is slope intercept form

y = mx + b

What the question asks you to approximate a value using a tangent line, what does it mean

What do you need to remember when answering this question

You actually use 7 instead of 9 because the inside of the route is X+2 which making X=7 cause the route to equal 9.

What is the differential formula

dy=f′(x) (x-x₀)

What is the formula for finding delta Y

What os the difference between a derivative and differential

derivative is like the change in slope and differential is the change in the y-component.

What is the equation for surface area of a circle

4π r²

What does it mean when the question says to “approximate the change” in something

To find the differential equation and use this equation

What do you need to remember when given a question like this

You solve the derivative as normal, but you then include beside it the dx or dt or dk (whatever is inside the f(?))

Remember the “²” has to be in-between the d and y

What is sort of irrelevant when solving “Family of solutions questions”

When your given “C” as a constant because the constant can be 0

What should you remember when you are dealing with negative exponents

You should switch them to fraction when going from 1st to 2nd to 3rd derivative