Continuity and Differentiability
Differentiate the functions with respect to xsin(ax+b)
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Differentiate sin(cos(x2)) with respect to x.
Show that every polynomial function is continuous.
Differentiate the functions with respect to xcos(x)
Find dxdy in the following:(a)x3+x2y+xy2+y3=81(b) xy+y2=tanx+y(c) x2+xy+y2=100
Find the derivative of / given by f(x)=tan−1xassuming it exists.
If x and y are connected parametrically by the equations given, without eliminating the parameter, Find dxdy.x=asecθ,y=btanθ
Differentiate w.r.t. x the function xx2−3+(x−3)x2 for x>3.
Find the derivative of tan (2x+3).