CBSE Class 12-science Maths Continuity and Differentiability

• Find the derivative of log|-x|?
• What is the maximum value of x^1/x
•                             a^{x...............} if y = a^x prove that dy/dx = y²(log y)/x{1 – y(logx)(logy)} explain in great detail  
•   if y = e^sinx + (tan x)^x , prove that dy/dx = e^{sin x} cos x + (tan x)^x [2x cosec 2x + log tan x]
•   If x^myⁿ= (x+y)^m+n, prove that dy/dx = y/x Mention each and every step
•  If y = x^{cot x} + 2x² – 3/x² + x + 2, find dy/dx Mention each and every step
•  If y = (sin x)^x + sin^-1 (x)^1/2, find dy/dx Mention each and every step
• find dy/dx y = (log x)^x + (x)^{log x} mention each and every formula and minute details
• find dy/dx  mention each and every formula and minute steps and detail Y = x^x . e^{(2x + 5)}
• Differentiate x^sinx w. r. to x.

Queries asked on Sunday & after 7 pm from Monday to Saturday will be answered after 12 pm the next working day.