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.
— Wrong!
Don’t confuse this with , which is right. equals .
— Wrong!
Don’t confuse this with , which is right. can’t be simplified.
Slope = — Wrong!
This is upside down. Slope equals .
— Wrong!
You can’t cancel the 3as because it’s not a factor of the numerator and the denominator. With , however, you can cancel the 3as.
— Wrong!
Pi is a number, not a variable, so is also just a number, and the derivative of any number is zero. Thus, .
If k Is a Constant, — Wrong!
You don’t use the product rule here. Constants work like numbers, not variables, so works just like , which equals 3. Thus, . (Extra credit: Do you see why, in fact, the above is not technically wrong?)
The Quotient Rule Is — Wrong!
See the second from the last point in Chapter 20, “Ten Things to Remember.”
— Wrong!
Do you C why this is wrong?
— Wrong!
The derivative of cosine is negative sine, so the derivative of negative cosine is sine, and thus .
Green’s Theorem
This one’s right, but forget trying to remember it.