Question

Practice Another Find the critical numbers of the function. (Enter your answers as a comma-separated list. If an answer does not exist, enter DNE.) \[ \begin{array}{l} h(t)=t^{3 / 4}-6 t^{1 / 4} \\ t=\square \end{array} \]

          Practice Another
Find the critical numbers of the function. (Enter your answers as a comma-separated list. If an answer does not exist, enter DNE.)
\[
\begin{array}{l}
h(t)=t^{3 / 4}-6 t^{1 / 4} \\
t=\square
\end{array}
\]

Practice Another
Find the critical numbers of the function. (Enter your answers as a comma-separated list. If an answer does not exist, enter DNE.)

h(t)=t^3 / 4-6 t^1 / 4

t=□

Added by Pilar F.

Calculus: Early Transcendentals

James Stewart 8th Edition

Instant Answer

Solved by Expert Aparna Shakti

Step 1

\[ h'(t) = \frac{3}{4}t^{-1/4} - \frac{6}{4}t^{-3/4} \] Simplify the derivative: \[ h'(t) = \frac{3}{4}t^{-1/4} - \frac{3}{2}t^{-3/4} \] Show more…

Show all steps

Thanks for your feedback!

Practice Another Find the critical numbers of the function. (Enter your answers as a comma-separated list. If an answer does not exist, enter DNE.) \[ \begin{array}{l} h(t)=t^{3 / 4}-6 t^{1 / 4} \\ t=\square \end{array} \]