If \( f(x) \) is differentiable everywhere, then
(1) \( |\mathrm{f}| \) is differentiable everyw... VIDEO
If \( f(x) \) is differentiable everywhere, then
(1) \( |\mathrm{f}| \) is differentiable everywhere
(2) \( |\mathrm{f}|^{2} \) is differentiable everywhere
P
(3) \( f|f| \) is not differentiable at some point
W
(4) \( f+|f| \) is differentiable everywhere
π²PW App Link - https://bit.ly/YTAI_PWAP
πPW Website - https://www.pw.live
Other Videos By PW Solutions 2023-02-14 A flagstaff of length \( I \) is fixed on the top of a tower of hei... 2023-02-14 Choose the correct statements from the following.
(i) Beryllium is not readily attacked by acids... 2023-02-14 Magnetic field at the centre of a circular loop of area \( A \) is ... 2023-02-14 Which of the following graphs is correct for a first order reaction... 2023-02-14 Let \( y=y(x) \) be a solution of the differential equation,
P \( \... 2023-02-14 A ring, cylinder and solid sphere are placed on the top of a rough incline on which the sphere c... 2023-02-14 If \( \frac{d y}{d x}=\frac{x y}{x^{2}+y^{2}} ; y(1)=1 \); then a v... 2023-02-14 For hydrogen atom, which of the following figure correctly, shows t... 2023-02-14 If \( f(x)=\left\{\begin{array}{cc}\frac{x\left(3 e^{1 / x}+4\right)}{2-e^{1 / x}} & , x \neq 0 ... 2023-02-14 A disc of mass \( M \) and radius \( R \) rolls without slipping on a horizontal surface. If the... 2023-02-14 If \( f(x) \) is differentiable everywhere, then
(1) \( |\mathrm{f}| \) is differentiable everyw... 2023-02-14 When sodium is dissolved in liquid ammonia, a solution of deep blue colour is obtained. The colo... 2023-02-14 If for \( x \geq 0, y=y(x) \) is the solution of the differential e... 2023-02-14 If \( f(x)=\left.|x|\right|^{\text {sinx }} \mid \), then \( f^{\prime}(\pi / 4) \) is equal to
... 2023-02-14 Which of the following compounds are readily soluble in water?
(i) \( \mathrm{BeSO}_{4} \)
\( \m... 2023-02-14 \( \mathrm{P} \) then:
(1) \( \mathrm{f}(\mathrm{x}) \) is differentiable at \( \mathrm{x}=2 \) ... 2023-02-14 A circular current loop of magnetic moment \( M \) is in an arbitra... 2023-02-14 Mark the incorrect statements.
(i) Catalyst provides an alternative... 2023-02-14 According to Maxwell Boltzmann distributon of energy,
(i) the fract... 2023-02-14 In any unimolecular reaction
(i) only one reacting species is invol... 2023-02-14 The magnitude of the magnetic field at the centre of the tightly wo...