How to calculate the curvature function for: $$()=⟨^{-2},4,5⟩$$
I used the formula for the curvature:
$$\frac{\left|\left|r'\left(t\right)\times r''\left(t\right)\right|\right|}{\left(\left|\left|r'\left(t\right)\right|\right|\right)^3}$$
and I got this: $$r'(t) = (-2/t^3,0,5)$$ and $$r''(t)=(6/t^4,0,0)$$
and I got this as my final answer:
$$\frac{30t^4\left|t\right|}{\left(25t^6+4\right)^{\frac{3}{2}}}.$$
But it doesn't seem to be the right answer. What is my problem here?
okay so I ran outta tries and here;s the answer. not sure how:
