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The value of x at which the first derivative of the function (√x + 1/√x)² w.r.t.x is 3/4 are

(1) ±2 (2) ±1/2 (3) ±2/√3 (4) ±√3/2 Solution: Given f(x) = (√x + 1/√x)2 = x + 1/x +... View Article

(1) 2 (2) -1 (3) 1 (4) none of these Solution: Given f(x) = sin 2x cos 2x cos 3x... View Article

(1) 1/x log 5 log 7 log7 x (2) 1/x log 5 log 7 (3) 1/x log x (4) none... View Article

(1) 2x/(1 + x4) (2) 2x/√(1 + 4x) (3) -2x/(1 + x4) (4) -2x/√(1 + x2) Solution: Given y =... View Article

(1) 1/2√x (2) sec2√x/(√x tan √x) (3) 2sec2√x (4) sec2√x/(2√x tan √x) Solution: Given y = log tan √x Differentiate... View Article

(1) sec x tan x (2) sec xo tan xo (3) (π/180) sec xo tan xo (4) (180/π) sec xo... View Article

(1) 1/2 (2) 2/3 (3) 3 (4) 1 Solution: Given y = cot-1 [ √(1 + sin x) + √(1... View Article

(1) 1 (2) 2 (3) 3 (4) 0 Solution: Given f(x) = ex g(x) f’(x) = ex g(x) + ex... View Article

(1) 9/4 (2) 5/2 (3) 3 (4) 7/2 Solution: Given f(x) = x2 -6x+8 Differentiate w.r.t.x f’(x) = 2x-6 f’(x)... View Article

(1) e (2) 1 (3) 0 (4) log x elog x Solution: y = e(1 + log x) = e.elog... View Article

(1) -1/x2 (2) 1/x2 (3) not possible (4) 1 Solution: Let y = 1/x = x-1 Differentiate w.r.t.x dy/dx =... View Article

(1) (π/180) cos xo (2) (1/90) cos xo (3) (π/90) cos xo (4) (2/90) cos xo Solution: Let y =... View Article

Iodine has 5 shells whereas bromine has 4 shells. Since bromine has less number of shells, the outer shell is... View Article

Liquid oxygen is paramagnetic. It gets attracted by the magnetic field but once the magnetic field is removed it does... View Article

Aluminium is a strong and lightweight metal. This weight of aluminium is almost ⅓ rd the weight of steel. This... View Article

Like batteries, capacitors can also be used to supply voltage to the circuit. They supply voltage to the circuit in... View Article

A capacitor will charge upto 63% of the supply voltage in one time constant. After 5 time constants the capacitor... View Article

The capacitance of the start capacitor is more than the run capacitor. The start capacitor is found in the start... View Article

440 V capacitor cannot be used in place of 370 V capacitor. The voltage rating on the capacitor displays should... View Article

The size of the 1 farad capacitor depends on the potential difference we are taking. If the value of voltage... View Article