3. Show that the function | sin(2.x)| is not differentiable at r = 0 but the function | sin(2x)|1+T is differentiable at a = 0 and compute its derivative at r = 0. Hint: Use the limit definition of derivative. You may also use the fact that lim,0 sin I = 1.
3. Show that the function | sin(2.x)| is not differentiable at r = 0 but the function | sin(2x)|1+T is differentiable at a = 0 and compute its derivative at r = 0. Hint: Use the limit definition of derivative. You may also use the fact that lim,0 sin I = 1.
Chapter3: Functions
Section3.3: Rates Of Change And Behavior Of Graphs
Problem 2SE: If a functionfis increasing on (a,b) and decreasing on (b,c) , then what can be said about the local...
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Transcribed Image Text:3. Show that the function sin(2x)| is not differentiable at r = 0 but the
function
| sin(2x)|1+1
is differentiable at x = 0 and compute its derivative at x = 0.
Hint: Use the limit definition of derivative. You may also use the fact
that lim,0
sin r
1.
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