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Question 8 Score on last try: 0 of 9 pts. See Details for more. Submit and End You can retry this question below Let \( f(x)=x^{5 x} \). Use logarithmic differentiation to determine the derivative. \[ \begin{array}{l} f^{\prime}(x)=6 x^{5} \\ f^{\prime}(1)=6 \end{array} \] \( \square \) Calculator Check Answer

          Question 8

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Let \( f(x)=x^{5 x} \). Use logarithmic differentiation to determine the derivative.
\[
\begin{array}{l}
f^{\prime}(x)=6 x^{5} \\
f^{\prime}(1)=6
\end{array}
\]
\( \square \)
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Question 8

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Let f(x)=x^5 x. Use logarithmic differentiation to determine the derivative.

f^'(x)=6 x^5

f^'(1)=6

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Added by John L.

Calculus: One Variable

Garret J. Etgen, Saturnino L. Salas 10th Edition

Chapter 3

Instant Answer

Solved by Expert Oswaldo Jiménez

Step 1

Start by taking the natural logarithm of both sides: \[ \ln(f(x)) = \ln(x^{5x}) \] Show more…

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Question 8 Score on last try: 0 of 9 pts. See Details for more. Submit and End You can retry this question below Let \( f(x)=x^{5 x} \). Use logarithmic differentiation to determine the derivative. \[ \begin{array}{l} f^{\prime}(x)=6 x^{5} \\ f^{\prime}(1)=6 \end{array} \] \( \square \) Calculator Check Answer