Differentiate the given function f x 2 3x and find it rsquo s value ........

Mathematics (NDA) Diffrentiation

Differentiate the given function f(x) =|2-3x| and find it’s value?

Not differentiable

112

Y= |2-3x|

Y= 2-3x (x ≤2/3)

Y= 3x-2 ( x >?)

2-3x=0

X=2/3

F(2/3)=0

Left limit 2- 3 (2/3)=0

Right limit 3(2/3) -2 =0

Left limit =right limit =f(2/3)

Function is continuous

Now differentiability check

Left derivative = 2-3x= -3

Right derivative 3x-2 =3

Left derivative≠ Left derivative

The function is not differentiable

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