Answer to Question #253814 in Calculus for yobro

Question

Find all points where f fails to be differentiable. Justify your answer. Also draw the graph of f(x) by using

MATLAB.

(a) f(x) = |3x − 2| (b) f(x) = |x

2 −2|

Answer 1

a) f(x)=|3x-2|

We know that in a graph of a function ...it fails to be deffrentiable at points where there is a sharp edge..

So we get points ...

(2/3,0) only.

Using matlab.

Commands and computation are:

>>

y=abs(3*x-2);

plot(x,y)

Graph using MATLAB

And Using desmos...

Similarly in

b)

f(x) = |x²−2|

We get points

(-1.414,0) and (1.414,0) as two points

where our function f(x) is not deffrentiable.

Commands and computation using MATLAB.

y=abs(x.^2-2);

plot(x,y)

Graph using matlab and desmos.