For a fixed positive integer

MATHEMATICS · Subjective · A Level · Mathematics · Differentiation · Differentiation

Problem

For a fixed positive integer

m

, derive a general formula for the

n

th derivative of

h(x)=x^{m}

when

0\le n\le m

, and state the value of

h^{(n)}(x)

when

n>m

.

Related theory

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