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[Number 21]

find the 4th derivative of h(x) = x² + 3x + 1

 

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To find the 4th derivative of h(x) = x² + 3x + 1, we first need to find the first, second and third derivatives:

First derivative:
h'(x) = 2x + 3

Second derivative:
h''(x) = 2

Third derivative:
h'''(x) = 0

Now, to find the fourth derivative, we simply take the derivative of h'''(x):

Fourth derivative:
h''''(x) = 0

Therefore, the fourth derivative of h(x) is 0.