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amy0799
 one year ago
consider the following function.
f(x) = sqrt(9x^2)
Find the derivative from the left at x = 3.
Find the derivative from the right at x = 3.
amy0799
 one year ago
consider the following function. f(x) = sqrt(9x^2) Find the derivative from the left at x = 3. Find the derivative from the right at x = 3.

This Question is Closed

thadyoung
 one year ago
Best ResponseYou've already chosen the best response.0find the derivaite, use chain rule, and then plug in 3 for every x

ChillOut
 one year ago
Best ResponseYou've already chosen the best response.0Let \(u=sqrt(v)\) and \(v=9x²\). What does the chain rule tells you?

ChillOut
 one year ago
Best ResponseYou've already chosen the best response.0\(\frac{d}{dx}f(g(x))=f'(g(x))*g'(x))\)

Castiel
 one year ago
Best ResponseYou've already chosen the best response.0Make it simpler yourself by writing \[(9x ^{2})^{\frac{ 1 }{ 2 }}\] Now you could use that derivation rule \[\frac{ d }{ dx }x ^{n}= nx ^{n1}\] after that you still have to multiply it with derivation of \[\frac{ d }{ dx}(9x ^{2})\]

Castiel
 one year ago
Best ResponseYou've already chosen the best response.0\[\frac{ d }{ dx }(9x ^{2})\] =\[\frac{ d }{dx }9\frac{ d }{dx }x ^{2}\] Now what is a derivative of a constant number like 9 here?

Castiel
 one year ago
Best ResponseYou've already chosen the best response.0that means \[\frac{ d }{ dx }(9x ^{2}) = 2x\]

amy0799
 one year ago
Best ResponseYou've already chosen the best response.1so then how do i find the derivative from the left and right at x=3?

Jhannybean
 one year ago
Best ResponseYou've already chosen the best response.0\[\lim_{x\rightarrow 3^{}} (9x^2)^{1/2}\]\[\lim_{x\rightarrow 3^+} (9x^2)^{1/2}\]

amy0799
 one year ago
Best ResponseYou've already chosen the best response.1do i just plug in 3 for both equation?

amy0799
 one year ago
Best ResponseYou've already chosen the best response.1@ChillOut can you help me

triciaal
 one year ago
Best ResponseYou've already chosen the best response.0dw:1440964454314:dw

amy0799
 one year ago
Best ResponseYou've already chosen the best response.1how do i find the derivative from the left and right at x=3?

triciaal
 one year ago
Best ResponseYou've already chosen the best response.0from the left let x = 3 from the right let x = 3

amy0799
 one year ago
Best ResponseYou've already chosen the best response.1i got the answer wrong
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