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Q :Y=(4x -1)/log 2 (3) y'=?

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yapayapa | (Level 2) Honors

Posted July 4, 2013 at 5:01 PM via web

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Q :Y=(4x -1)/log 2 (3)

y'=?

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sciencesolve | Teacher | (Level 3) Educator Emeritus

Posted July 4, 2013 at 5:12 PM (Answer #1)

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You need to evaluate the derivative of the given function `y = (4x - 1)/(log_2 3)` , hence, you need to differentiate the function with respect to x, such that:

`(dy)/(dx) = (d((4x - 1)/(log_2 3)))/(dx)`

`(dy)/(dx) = 1/(log_2 3)*(d(4x - 1))/(dx)`

`(dy)/(dx) = 1/(log_2 3)*((d(4x))/(dx) - (d(1))/(dx))`

Since differentiating a constant gives 0, yields:

`(dy)/(dx) = 1/(log_2 3)*4`

`(dy)/(dx) = 4/(log_2 3)`

Hence, evaluating the derivative of the given function yields `(dy)/(dx) = 4/(log_2 3).`

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