CBSE Class 12 science: Differentiation: Implicit Functions Videos | Problem-solving on Implicit functions

• integration
• change of base formula
• Let f(x) = x-[x], x€R, then f'(1/2) is
• Find dy/dx where 
• If y = e^{tan x}  , prove that  (cos² x)d²y/dx² – ( 1 + sin 2x).dy/dx = 0 Explain in great detail
•  If y = acos(logx) + bsin(log x), prove that x²y₂  + xy₁ + y = 0 Explain in great detail  
• If y = (cosec x + cot x ), prove that (sinx)d²y/dx² – y² = 0 Explain in great detail
• If y = (tan^-1 x)², prove that ( 1 + x²)²y₂ + 2x( 1 + x²)y₁ = 2 Explain in great detail
• If y = tan^-1 { (1 + x)^1/2 – (1-x)^1/2/ (1+ x)^1/2 + (1- x)^1/2 Prove that dy/dx = 1 / 2(1 – x²)^1/2
• diferentiate wrt x If y = sin { 2 tan^-1 ( 1 – x / 1 + x)^1/2} show that dy / dx = -x / (1- x²)^1/2

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