could any one help me solving this parametric equation.
1, if y=cos^3 t and x=sin^3t calculate d^2 y/dx^2
2,the parametric equation of a function are given as x=3sin2t and y= 1-e^cos2t calculate dy/dx and d^2 y/dx^2
3, partial differetiation- determine d^2 z/dxdy if z=3xy^2+5x^2 y^4-y^5
4, if v=2loge^(4y-3x) calculate d^2 v/dxdy
5,if u=e^-x(xcosy) determine the value of
i,du/dx
ii,d^2 u/dydx
Hello, mokgadi!
We have two formulas for parametric differentiation.
. . The second one is commonly misunderstood.
. . .
For the second derivative:
. . (a) Differentiate the result in part (1).
. . (b) Divide by another
We have:
. .
. .
Therefore: .
We have: .
Therefore: .