CBSE Class 12-science - Second Order Derivatives Videos

• x=acos^3theta and y=bsin^3theta find d^2y/dx^2.
• if x=a(1-cosθ ),y =b sinθ , then find dy/dx and d^2y/dx^2.
• If x = a cos thita + b sin thita and y = a sin thita – b cos thita, show that y²d²y/dx² – x dy/dx + y = 0 explain in great detail
• If x = a(cos thita + thita sin thita) and y = a(sin thita – thita cos thita), show that d²y/dx² = 1/a (sec³thita / thita) Explain in great detail
• If y = {x + (x² + 1)^1/2}^m then show that (x² + 1)d²y/dx² + x dy/dx – m²y = 0
• If y = e^{a cos-1 x}  , -1 <_  x _< 1 show that (1 – x²)d²y/dx² – x dy/dx – a²y = 0       explain in great detail
• Find the second order derivative of  sin 3x cos 5x  
• Find the second order derivative  of e^3x sin 4x Explain in great detail  
• If y = sec x – tan x , show that  (cos x)d²y/dx² = y² Explain in great detail
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