Practice problem
If f(t)=3tf(t)=3^{t}f(t)=3t find a formula for f(n)(t)f^{(n)}(t)f(n)(t).
f(n)(t)=(ln3)n−13xf^{(n)}(t)=(\ln3)^{n-1}3^xf(n)(t)=(ln3)n−13x
f(n)(t)=(ln3)n3xf^{(n)}(t)=(\ln3)^n3^xf(n)(t)=(ln3)n3x
f(n)(t)=3n+xf^{(n)}(t)=3^{n+x}f(n)(t)=3n+x
f(n)(t)=n33xf^{(n)}(t)=n^33^xf(n)(t)=n33x
Type a concept, like “slope” or “photosynthesis”.
