Then keep solving
Find the Derivative of
Squareroot (x^3)
By the limit defination of the derivative. Not the easy shortcut way. :/
Can anyone point me in the right direction as to how I can start?
I know the derivative is
3/2 * x^1/2 (shortcut way) but can anyone show me the long way?
Hello, EliteNewbz!
We know the definition: .Find the derivative by the limit definition of the derivative:
. . .
But I've never met any teacher who says this is a four-step procedure,
. . and deliberately makes four steps. . (Am I the only one?)
[1] Find . . . Replace with . . . and simplify.
[2] Subtract . . . Subtract the original function . . . and simplify.
[3] Divide by . . . Factor and reduce.
[4] Take the limit . . . Let
We have: .
[1]
[2]
. . Multiply by
. .
. .
[3] .
[4]
Therefore: .