Continuity and Differentiability
is a continuous map from R
for some a˙
Show that there is some b
such that f(b)=b˙
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Find the derivative of the function given byf(x)=sin(x2)˙
The general solution of the D.E. dxdy+xy=x2 is
Find df/dx if f(x) = (sin x) ^ sin x for all o<x<π.
Is it true that x=elogx for all real
If x and y are connected parametrically by the equations given, without eliminating the parameter, Find dxdy.x=cos2tsin3t,y=cos2tcos3t
Find the general solution of the differential equation dxdy+1−x21−y2=0.
Differentiate the following w.r.t. x:logxcosx,x>0
The general solution of the D.E. dxdy+ytanx=secx is