List of top Mathematics Questions

Find the second order derivatives of the function
\(sin(logx)\)

Find the second order derivatives of the function
\(log(logx)\)

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
\(x^y+y^x=1\)