find the values of t when the function defined by
X=4t^3 and y=3t^2-7t is concave up.
give and derivative you need to find when solving this problem .
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find the values of t when the function defined by
X=4t^3 and y=3t^2-7t is concave up.
give and derivative you need to find when solving this problem .
Differentiate twice with respect to x, as directed here: Parametric derivative - Wikipedia, the free encyclopedia.
Set the second derivative greater than zero and solve for values of t.
dx/dt=12t^2 dy/dt=6t-7 So dy/dx=(6t-7)/12t^2Quote:
Originally Posted by Damini
Get 2nd derivative using d/dx(dy/dx)=d/dt(dy/dx)*dt/dx
For concave up you want 2nd derivative >0