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10FallHwk05 - Math 2413 Homework Set 5 10 Points...

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Math 2413 Homework Set 5 10 Points Derivatives of Exponential and Logarithm Functions Differentiate each of the following functions. 1. ( ) ( ) 6 ln g z z z = 2. ( ) 1 4 3 x x f x + = - e e Inverse Trig Functions Differentiate each of the following function. 3. ( ) ( ) ( ) 1 cos 4cos h x x x - = - 4. ( ) ( ) ( ) 1 1 sin tan R y y y y - - = + Chain Rule For problems 5 – 9 differentiate the given function. 5. ( ) ( ) 6 11 4tan g z x x = - 6. ( ) ( ) 9 2 1 6 sin 6 y t t = + 7. ( ) 2 6 4 w w g w w - = + e e 8. ( ) ( ) 2
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