Find the Indicated Derivative $y = 19 x ^ { 3 } + \frac { 13 } { x }$

question 6

Multiple Choice

Find the indicated derivative. $y = 19 x ^ { 3 } + \frac { 13 } { x }$ , $x = 14$ when $t = 1$ , $\left. \frac { \mathrm { d } x } { \mathrm {~d} t } \right| _ { z = 1 } = 20$ ; $\left. \frac { \mathrm { d } y } { \mathrm {~d} t } \right| _ { t = 1 } =$
Please round the answer to the nearest hundredth.

• A) \(\left. \frac { \mathrm { d } y } { \mathrm {~d} t } \right| _ { t = 1 } = 159586.73\)
• B) \(\left. \frac { \mathrm { d } y } { \mathrm {~d} t } \right| _ { t = 1 } = 74461.43\)
• C) \(\left. \frac { \mathrm { d } y } { \mathrm {~d} t } \right| _ { t = 1 } = 11171.93\)
• D) \(\left. \frac { \mathrm { d } y } { \mathrm {~d} t } \right| _ { \imath = 1 } = 223438.67\)
• E) \(\left. \frac { \mathrm { d } y } { \mathrm {~d} t } \right| _ { t = 1 } = 15958.67\)

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