{\Assertion}(A) : If y=f(x)=(|x|-|x-1|)^2, then (\frac{d y}{d x}) _{x=1}=1 Reason (R) : If \lim_{x \rightarrow a} \frac{f(x)-f(a)}{x-a} exist, then it is called derivative of {\f}( {\x}) at x=a. Then [AP EAPCET 22 May 2025 S1]

Correct Answer is : (A) is false, (R) is true

(A) is true, (R) is true, (R) is correct explanation to (A)

(A) is true, (R) is true, (R) is not the correct explanation to (A)

Differentiation

Section: Mathematics

Question : 10 of 34

Marks: +1, -0

Assertion(A) : If y=f(x)=(|x|−|x−1|)2, then (‌

)x=1=1
Reason (R) : If

lim

x⟶a

‌

f(x)−f(a)

x−a

exist, then it is called derivative of f(x) at x=a.
Then

[AP EAPCET 22 May 2025 S1]

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