Continuity and Differentiability
If x and y are connected parametrically by the equations given, without eliminating the parameter, Find dxdy.x=cosθ−cos2θ,y=sinθ−sin2θ
Connecting you to a tutor in 60 seconds.
Get answers to your doubts.
Differentiate the following w.r.t. x:logxcosx,x>0
Find the derivative of f given by f(x)=sin−1xassuming it exists.
Prove that the function f(x)=xnis continuous at x=n, where n is a positive integer.
Find dxdy,if y=12(1−cost),x=10(t−sint),−2π<t<2π
Discuss the continuity of the function f given by f(x)=∣x∣atx=0.
Differentiate the functions with respect to xcos(x)
If u, v and w are functions of x, then show that dxd(u.v.w)=dxduv.w+u.dxdv.w+u.vdxdw in two ways - first by repeated application of product rule, second by logarithmic differentiation.
Differentiate the functions with respect to xsin(ax+b)