Class 12

Math

Calculus

Continuity and Differentiability

Discuss the continuity of the function f given by $f(x)={x,ifx≥0x_{2},ifx<0$

Connecting you to a tutor in 60 seconds.

Get answers to your doubts.

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

Solve: $(x_{3}+3xy_{2})dx+(y_{3}+3x_{2}y)dy=0$

Find the general solution of each of the following differential equations:$ydx+(1+x_{2})tan_{−1}xdy=0$.

A curve passes through the point $(−2,1)$ and at any point $(x,y)$ of the curve, the slope of the tangent is twice the slope of the line segment joining the point of contact to the point $(−4,−3)$. Find the equation of the curve.

Differentiate the following w.r.t. x:$g(gx),x>1$

The general solution of the $DE$

Find the general solution for the following differential equation.$dxdy +x1 .y=x_{2}$

Find the general solution for the following differential equation.$(sinx)dxdy +(cosx)y=cosxsin_{2}x$