List of top Mathematics Questions asked in CBSE CLASS XII

Find the second order derivatives of the function
\(tan^{-1}x\)

Find the second order derivatives of the function
\(e^{6x}cos3x\)

Find the second order derivatives of the function
\(e^xsin5x\)

Find the second order derivatives of the function
\(x^3logx\)

Find the second order derivatives of the function
\(log\,x\)

Find the second order derivatives of the function
\(x.cosx\)

Find the second order derivatives of the function
\(x^{20}\)

If \(x\) and \(y\) are connected parametrically by the equation,without eliminating the parameter,find \(\frac{dy}{dx}\).
\(x=a(cosθ+θsinθ),y=a(sinθ-θcosθ)\)

If \(x\) and \(y\) are connected parametrically by the equation,without eliminating the parameter,find \(\frac{dy}{dx}\).
\(x=a\,secθ,y=b\,tanθ\)

If \(x\) and \(y\) are connected parametrically by the equation,without eliminating the parameter,find \(\frac{dy}{dx}\).
\(x=a(cos\,t+log\,tan\frac{t}{2}),y=a\,sint\)

If \(x\) and \(y\) are connected parametrically by the equation,without eliminating the parameter,find \(\frac{dy}{dx}\).
\(x=\frac{sin^3t}{\sqrt{cos\,2t}},y=\frac{cos^3t}{\sqrt{cos\,2t}}\)

If \(x\) and \(y\) are connected parametrically by the equation,without eliminating the parameter,find \(\frac{dy}{dx}\).
\(x=a(θ-sin\,θ),y=a(1+cos\,θ)\)

If \(x\) and \(y\) are connected parametrically by the equation,without eliminating the parameter,find \(\frac{dy}{dx}\).
\(x=cos\,θ-cos2θ,y=sin\,θ-sin2θ\)

If \(x\) and \(y\) are connected parametrically by the equation,without eliminating the parameter,find \(\frac{dy}{dx}\).
\(x=4t,y=\frac{4}{t}\)

If \(x\) and \(y\) are connected parametrically by the equation,without eliminating the parameter,find \(\frac{dy}{dx}\).
\(x=sin\,t,y=cos\,2t\)

If \(x\) and \(y\) are connected parametrically by the equation,without eliminating the parameter,find \(\frac{dy}{dx}\).
\(x= a\,cos\,θ,y=b\,cos\,θ\)

If \(x\) and \(y\) are connected parametrically by the equation,without eliminating the parameter,find \(\frac{dy}{dx}.\)
\(x=2at^2,y=at^4\)

If \(u,v\) and \(w\) are functions of \(x\),then show that
\(\frac{d}{dx}(u.v.w)=\frac{du}{dx}v.w+u.\frac{dv}{dx}+u.v\frac{dw}{dx}\) in two ways-first by repeated application of product rule,second by logarithmic differentiation.

Find the derivative of the function given by \(f(x)=(1+x)(1+x^2)(1+x^4)(1+x^8)\) and hence find \(f'(1)\)

Find \(\frac{dy}{dx}\) of function
\(xy=e^{(x-y)}\)

Find \(\frac{dy}{dx}\) of function
\((cosx)^y=(cosy)^x\)

Find \(\frac{dy}{dx}\) of function
\(y^x=x^y\)

Find \(\frac{dy}{dx}\) of function
\(x^y+y^x=1\)

Differentiate the function with respect to \(x\)
\((xcosx)^x+(xsinx)^{\frac{1}{x}}\)

Differentiate the function with respect to \(x\)
\(x^{xcos\,x}+\frac{x^2+1}{x^2-1}\)