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{:[f^(')(x)=-(6)/(x^(4))" and "f(1)=-4.],[f(-1)=]:}

f′(x)=−6x4 and f(1)=−4.f(−1)= \begin{array}{l}f^{\prime}(x)=-\frac{6}{x^{4}} \text { and } f(1)=-4 . \\ f(-1)=\end{array}

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Find higher derivatives of rational and radical functionsright chevron icon

Full solution

Q. f′(x)=−6x4 and f(1)=−4.f(−1)= \begin{array}{l}f^{\prime}(x)=-\frac{6}{x^{4}} \text { and } f(1)=-4 . \\ f(-1)=\end{array}
  1. Calculate rolls needed: Calculate the number of rolls needed by dividing the total amount of tape by the amount of tape on each roll. 8,000 cm÷2,000 cm/roll=4 rolls8,000 \, \text{cm} \div 2,000 \, \text{cm}/\text{roll} = 4 \, \text{rolls}
  2. Find f(1)f(1): Plug in x=1x=1 into the function to find f(1)f(1).\newlinef(1)=−6(14)=−6f(1) = -\frac{6}{(1^4)} = -6

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