Intro Derivative!
a) Sketch the graph of the cibe root function f(x)= cube root x.
b) Show that f is not differnetiable at 0
c) If "a" cannot be 0, find f ' (a)

Question

Intro Derivative!
a) Sketch the graph of the cibe root function f(x)= cube root x.
b) Show that f is not differnetiable at 0
c) If "a" cannot be 0, find f ' (a)

anonymous · Answer

i know how to do part a)

ganeshie8 · Answer

good, first do part a
we can use it to work out part b

anonymous · Answer

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something like that?

ganeshie8 · Answer

yes that will do

ganeshie8 · Answer

what do you know about the relation between `tangent line of a curve` and `derivative` ?

anonymous · Answer

...I'm not sure actually... they both have the same slope?

ganeshie8 · Answer

Here it is : 

`derivative of a function at a particlar x value` gives the `slope of tangent line` of the graph of function at that particular x value : 

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