Mckenzie

[Mckenzie @mackmath1]

Great problems to practice for upcoming test. Figuring out which graph is f'(x) & f(x)

[Mckenzie @mackmath1]

When f'(x) y-coordinates is zero, the f(x) slope is zero and the whole graph can be shifted up or down

[Mckenzie @mackmath1]

When graph of f'(x) touched x-axis, f(x) will have a slope of 0

[Mckenzie @mackmath1]

Can anyone help me on this problem?

[Mckenzie @mackmath1]

@spirit_butler Remember the formula! Substitute (x+h) in for all the X's and that will get you started on the problem and finish the first step.

[Mckenzie @mackmath1]

6a-this problem on the hw was a great challenge!

[Mckenzie @mackmath1]

The equation that describes the exact slope at a single point is called the function's first derivative

[Mckenzie @mackmath1]

For a derivative be sure to substitute 0 for h

[Mckenzie @mackmath1]

The derivative tells us the amount by which a function is changing at one given point

[Mckenzie @mackmath1]

Anyone know how to multiply by the conjugate here?

[Mckenzie @mackmath1]

The limit exists if both sides match
Value of function doesn't matter

[Mckenzie @mackmath1]

Here's a tricky problem we did in class but learned a lot from

[Mckenzie @mackmath1]

This is what I got for number 2 on homework. Anyone get the same thing?

[Mckenzie @mackmath1]

Not all limits can be evaluated by direct substitution. Sometimes alternative ways are necessary.

[Mckenzie @mackmath1]

@sackjchultz6 a hole appears in rational functions when the numerator and denominator share the same exact factor.

[Mckenzie @mackmath1]

Thanks @JPerkMath for helping me with problem!

[Mckenzie @mackmath1]

When there is a vertical asymptote the limit is infinite🤓#math24/7alldayeveryday