Question
Asked Oct 11, 2019
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I need help with solving number 5 part a b c. Thank you!

5. Letf (x) V2
Show that f'(0) does not exist.
b. If a 0, find f'(a)
c. Show that the graph of the function f has a vertical tangent line at (0,0).
a.
6. Let f (x) = lx2 - 9
Show that the function is not differentiable at x = ±3.
b. Find a formula for f'(x).
c. Show that the graph of the function has corners at x = ±3.
a.
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5. Letf (x) V2 Show that f'(0) does not exist. b. If a 0, find f'(a) c. Show that the graph of the function f has a vertical tangent line at (0,0). a. 6. Let f (x) = lx2 - 9 Show that the function is not differentiable at x = ±3. b. Find a formula for f'(x). c. Show that the graph of the function has corners at x = ±3. a.

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Expert Answer

Step 1

(a)

Consider the given function:

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Step 2

Now, differentiate with respect to x:

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1 S'(x)= () 5(x*) (2x) 1 5x3 2 en n

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Step 3

Now, take limit x ten...

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2 lim f'(xlim 3 x0 x0 Thus, it is shown that f'(0) does not exist.

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Calculus

Derivative

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