Class 12

Math

Calculus

Continuity and Differentiability

Differentiate the following w.r.t. x:$gxcosx ,x>0$

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The general solution of the D.E. $(1+x_{2})dy−xydx=0$ is

Differentiate the functions with respect to x , $cos(sinx)$

Find the derivative of / given by $f(x)=tan_{−1}x$assuming it exists.

Find $dxdy $ in the following:$sin_{2}y+cosxy=π$

Find the general solution for the following differential equation.$(1−x_{2})dxdy +xy=ax$

Find the general solution for the following differential equation.$xdxdy +2y=x_{2}$

Find a particular solution satisfying the given condition for the following differential equation.$xdxdy −y=gx$, given that $y=0$ when $x=1$.

Find the general solution for the following differential equation.$dxdy =ytanx−2sinx$