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bagirrra123 [75]
4 years ago
14

What is the diffrentiation of logx

Mathematics
1 answer:
dalvyx [7]4 years ago
5 0
Derivative of Logarithm

When the logarithmic function is given by:

<span>f </span>(x) = logb(x)

The derivative of the logarithmic function is given by:

<span>f ' </span>(x) = 1 / (<span> x</span> ln(b) )

x is the function argument.

b is the logarithm base.

ln b is the natural logarithm of b.

 

For example when:

<span>f </span>(x) = log2(x)

<span>f ' </span>(x) = 1 / (<span> x</span> ln(2) )

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6/5

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m is your rate of change you need to get y by itself.

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3x/2 - 30/2 = 5/4y

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3x - 30 = 2 x 5/4y

3x - 30 = 2 x 5/4x2y (cross out 2 and 4)

3x - 30 = 5/2y

2 x 3x - 2 x 30 = 2 x 5/4y

6x - 60 = 5y

6x/5 - 60/5 = 5y/5

y = 6/5 x x - 12

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