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Dafna11 [192]
11 months ago
7

F(x) = 1/(5x-6)Find the derivative of this function

Mathematics
1 answer:
siniylev [52]11 months ago
5 0

Given

f(x)=\frac{1}{5x-6}

To find the derivative of the give function,we apply below exponent rule first:

\frac{1}{a}=a^{-1}

So,

Next, we apply the chain rule:

So,

We substitute back u=(5x-6):

Simplify:

Therefore, the answer is:

=-\frac{5}{(5x-6)^2}

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