Question

If x^2=25-y what is the value of d^(2)y/dx^(2) at the point (3,4)

Answer 1

\[x^2=25-y\]
\[y=25-x^2\]
\[dy/dx=0-2x\]
\[d^2y/dx^2 = -2\]
so at (3,4 ) d^(2)y/dx^(2)=-2