Ten Things to Forget - The Part of Tens - Calculus For Dummies

Calculus For Dummies, 2nd Edition (2014)

Part VI. The Part of Tens

Chapter 21. Ten Things to Forget

This is without question the easiest chapter in the book. There’s nothing to study, nothing to comprehend, nothing to learn. Just kick back, crank up the music, and forget this stuff.

images — Wrong!

Don’t confuse this with images, which is right. images equals images.

images — Wrong!

Don’t confuse this with images, which is right. images can’t be simplified.

Slope = images — Wrong!

This is upside down. Slope equals images.

images — Wrong!

You can’t cancel the 3as because it’s not a factor of the numerator and the denominator. With images, however, you can cancel the 3as.

images — Wrong!

Pi images is a number, not a variable, so images is also just a number, and the derivative of any number is zero. Thus, images.

If k Is a Constant, images — Wrong!

You don’t use the product rule here. Constants work like numbers, not variables, so images works just like images, which equals 3. Thus, images. (Extra credit: Do you see why, in fact, the above is not technically wrong?)

The Quotient Rule Is images — Wrong!

See the second from the last point in Chapter 20, “Ten Things to Remember.”

images — Wrong!

Do you C why this is wrong?

image — Wrong!

The derivative of cosine is negative sine, so the derivative of negative cosine is sine, and thus image.

Green’s Theorem

images

This one’s right, but forget trying to remember it.