A curve parametrically given by x=t+t3 and y=t2, where t∈R. For what vlaue(s) of t is dxdy=21?
Using the fact: sin(A+B)=sinAcosB+cosAsinB and the technique of differentiation, obtain the sum formula for cosines.
g(x+y)=g(x)+g(y)+3xy(x+y)∀x,y∈R and g′(0)=−4.
For which of the following values of x is g(x) not defined ?
If a curve is represented parametrically by the equation x=f(t)andy=g(t) then prove that dx2d2y=−[f′(t)g′(t)]3(dy2d2x)