Question

21. Check the differentiability of f(x) at x = 1
х
f(x) = {2 - x
-2 + 3x - x2
if
x < 1
if 1<x<2
if
x > 2​

Answer 1

Answer:

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Answer 2

Answer:

$Given -y=1x2</p><p></p><p>Method -1</p><p>The given function can be written as -</p><p></p><p>y=x−2</p><p></p><p>dydx=−2x−2−1</p><p></p><p>dydx=−2x−3</p><p></p><p>dydx=−2x3</p><p></p><p>Method - 2</p><p>We can apply quotient rule</p><p></p><p>dydx=[(x2)(0)]−[(1)(2x)](x2)2</p><p></p><p>dydx=−2xx4</p><p></p><p>dydx=−2x3</p><p></p><p></p><p>$