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h(x)=x^(8) h^(')(x)=

h(x)=x8 h(x)=x^{8} \newlineh′(x)= h^{\prime}(x)=

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Full solution

Q. h(x)=x8 h(x)=x^{8} \newlineh′(x)= h^{\prime}(x)=
  1. Calculate derivative using power rule: Calculate the derivative using the power rule.\newlineh′(x)=8×x8−1h'(x) = 8 \times x^{8-1}\newlineh′(x)=8×x7h'(x) = 8 \times x^7
  2. Check for errors: Check for any mathematical errors in the differentiation process.\newlineThe power rule was applied correctly, and the exponent was subtracted by 11 while the original exponent became the coefficient.

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