List of top Mathematics Questions on Continuity and differentiability asked in CBSE CLASS XII

Differentiate the function with respect to \(x\)
\(x^{xcos\,x}+\frac{x^2+1}{x^2-1}\)
Differentiate the function with respect to \(x\):
\(x^{sin\,x}+(sin\,x)^{cos\,x}\)
Differentiate the function with respect to \(x\):
\((sin\,x)^x+sin^{-1}\sqrt{x}\)
Differentiate the function with respect to \(x\)
\((log\,x)^x+x^{log\,x}\)
Differentiate the function with respect to \(x\). 
\((x+\frac{1}{x})^x+x^{(1+\frac{1}{x})}\)
Differentiate the function with respect to \(x\). 
\((x+3)^2.(x+4)^3.(x+5)^4\)
Differentiate the function with respect to \(x\). 
\(x^x-2^{sinx}\)
Differentiate the following w.r.t. \(x\):\((log\,x)^{cos\,x}\)
Differentiate the following w.r.t. \(x\):
\(\sqrt{\frac{(x-1)(x-2)}{(x-3)(x-4)(x-5)}}\)
Differentiate the following w.r.t. \(x\):
\(cos(log\,x+e^x),x>0\)
Differentiate the following w.r.t. \(x\):
\(\frac{cos\,x}{log\,x},x>0\)
Differentiate the following w.r.t. \(x\):
\(log(log\,x),x>1\)
Differentiate the following w.r.t. \(x\):
\(\sqrt{e^{\sqrt{x}}},x>0\)
Differentiate the following w.r.t. \(x\):
\(e^x+e^{x^2}+....+e^{x^5}\)
Differentiate the following w.r.t. \(x\):
\(log(cos\,e^x)\)
Differentiate the following w.r.t. \(x\):
\(sin(tan^{-1}e^{-x})\)