Question

If y=3x^50, then d^50y/dx^50=?

Answer 1

hmm, the 50th derivative of a monomial ...

Answer 2

Is it 3(50!)?

Answer 3

maybe :)

y^(0) = cx^n
y^(1) = cnx^(n-1)
y^(2) = cn(n-1)x^(n-2)
y^(3) = cn(n-1)(n-2)x^(n-3)
...
y^(k) = cn(n-1)(n-2)...(n-k+1)x^(n-k)

seems right to me

Answer 4

it would be 3(50!)