CUET Preparation Today
CUET
-- Mathematics - Section A
Continuity and Differentiability
Calculate the derivative $f(x)=x^2\cos x$ at $x=0$
1
-1
2
0
The correct answer is Option (4) → 0
$f(x)=x^2\cos x$
$f'(x)=2x\cos x+x^2\sin x$
$⇒f'(0)=2×0\cos 0+0×\sin 0$
$=0$
