Calculate $\frac { \mathrm { d } y } { \mathrm {~d} x }$

question 94

Multiple Choice

Calculate $\frac { \mathrm { d } y } { \mathrm {~d} x }$ . You need not expand your answer. $y = \frac { 4.2 x ^ { - 0.8 } - 0.6 x ^ { - 0.5 } } { 0.4 + x ^ { 0.1 } }$

• A) \(\frac { \left( - 3.36 x ^ { - 1.8 } + 0.3 x ^ { - 1.5 } \right) \left( 0.4 + x ^ { 0.1 } \right) + 0.1 x ^ { - 0.9 } \left( 4.2 x ^ { 0.8 } - 0.6 x ^ { 0.5 } \right) } { \left( 0.4 + x ^ { 0.1 } \right) ^ { 2 } }\)
• B) \(\frac { - 3.36 x ^ { - 1.8 } + 0.3 x ^ { - 1.5 } } { 0.4 + x ^ { 0.1 } }\)
• C) \(\frac { \left( - 3.36 x ^ { - 1.8 } + 0.3 x ^ { - 1.5 } \right) \left( 0.4 + x ^ { 0.1 } \right) - 0.1 x ^ { - 0.9 } \left( 4.2 x ^ { - 0.8 } - 0.6 x ^ { - 0.5 } \right) } { \left( 0.1 x ^ { - 0.9 } \right) ^ { 2 } }\)
• D) \(\frac { \left( - 3.36 x ^ { - 1.8 } + 0.3 x ^ { - 1.5 } \right) \left( 0.4 + x ^ { 0.1 } \right) - 0.1 x ^ { - 0.9 } \left( 4.2 x ^ { - 0.8 } - 0.6 x ^ { - 0.5 } \right) } { \left( 0.4 + x ^ { 0.1 } \right) ^ { 2 } }\)
• E) \(\frac { \left( - 3.36 x ^ { - 1.8 } + 0.3 x ^ { - 1.5 } \right) \left( 0.4 + x ^ { 0.1 } \right) - 0.1 x ^ { - 0.9 } \left( 4.2 x ^ { 0.8 } - 0.6 x ^ { 0.5 } \right) } { 0.4 + x ^ { 0.1 } }\)

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