for 3rd link

for 1st and 2nd you forget to give limit .

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Shubhanshu
asked
in Calculus
Dec 31, 2017

690 views
2 votes

1) Consider f(x) = $|x|^{3/2}$ Check for Differentiability and Continuity. I am getting Cont and Differentiable both.

2) Consider f(x) = $|x-1|^{3/2}$ Check for Differentiability and Continuity. I am getting Cont and Differentiable both.

3) Find the value of $f(x) = \int_{-2}^{2}|1-x^4|dx$. I am getting 8/5, but answer is 12.

2) Consider f(x) = $|x-1|^{3/2}$ Check for Differentiability and Continuity. I am getting Cont and Differentiable both.

3) Find the value of $f(x) = \int_{-2}^{2}|1-x^4|dx$. I am getting 8/5, but answer is 12.

0 votes

give function is **f(X)** is** continuous** and** not differentiable.**

$f(x)=\left\{\begin{matrix} x^{3/2} ,x>=0 & \\-x^{3/2} ,x<0 & \end{matrix}\right.$

**f(0)=0.**

*LHL and RHL.*

**lim x->(0-) = limx->(0+)=f(a)= 0.**

**since, LHL = RHL =f(a).**

the** limit exist** and the given funtion is **continious.**

and |x|^3/2 is not diffrentiable as **LHD ¥ RHD.**