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a) f(x)= x^4

Use exponent rule

f^{'}(x)= 4x^{3}

f^{''}(x)= 12x^{2}

f^{'''}(x)= 24x

f^{''''}(x)= 24



b) Create a general rule based on pattern

Bring exponent down and subtract 1

f^{'}(x)= nx^{n-1} is the answer

Explanations

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