Find the Indicated Derivative $y = 5 \sqrt { x } + \frac { 9 } { \sqrt { x } }$

question 77

Multiple Choice

Find the indicated derivative. ? $y = 5 \sqrt { x } + \frac { 9 } { \sqrt { x } }$ , $x = 4$ when $t = 1$ , $\left. \frac { \mathrm { d } x } { \mathrm {~d} t } \right| _ { t = 1 } = 5$ ; $\left. \frac { \mathrm { d } y } { \mathrm {~d} t } \right| _ { t = 1 } =$
Please round the answer to the nearest hundredth.

• A) \(\left. \frac { \mathrm { d } y } { \mathrm {~d} t } \right| _ { t = 1 } = 3.44\)
• B) \(\left. \frac { \mathrm { d } y } { \mathrm {~d} t } \right| _ { t = 1 } = 34.38\)
• C) \(\left. \frac { \mathrm { d } y } { \mathrm {~d} t } \right| _ { t = 1 } = 11.88\)
• D) \(\left. \frac { \mathrm { d } y } { \mathrm {~d} t } \right| _ { t = 1 } = 0.69\)
• E) \(\left. \frac { \mathrm { d } y } { \mathrm {~d} t } \right| _ { t = 1 } = 6.88\)

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