Question
Find the requested derivative using limits
a. ๐โฒ(-4)if f(x)=sqrt(1-2x)
b. ๐โฒ(a)if f(x)=(2x+1)/(x+3)
c. ๐โฒ(x) if f(x)=x^-2
a. ๐โฒ(-4)if f(x)=sqrt(1-2x)
b. ๐โฒ(a)if f(x)=(2x+1)/(x+3)
c. ๐โฒ(x) if f(x)=x^-2
Answers
Steve
These are a bit tedious, but not hard. I'm sure your book has examples just like them. Give it a go, and come back if you get stuck. Show what you did.
Just recall that โ(1-2(x+h)) - โ(1-2x)
can be "rationalized" by multiplying top and bottom by โ(1-2(x+h)) + โ(1-2x).
That way the 0/0 is avoided, and you then have a nonzero factor in the denominator.
Just recall that โ(1-2(x+h)) - โ(1-2x)
can be "rationalized" by multiplying top and bottom by โ(1-2(x+h)) + โ(1-2x).
That way the 0/0 is avoided, and you then have a nonzero factor in the denominator.
TayB
Steve I agree they are tedious doing it this way its easier using the derivative rules but even though i know them we arent allowed to use them until the class learns them. :(