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SpyIntel [72]
3 years ago
12

Differentiating a Logarithmic Function in Exercise, find the derivative of the function. See Examples 1, 2, 3, and 4.

Mathematics
1 answer:
astra-53 [7]3 years ago
7 0

Answer:

\frac{dy}{dx}=\frac{1}{2(x-4)}

Step-by-step explanation:

We are given that a function  

y=ln(x-4)^{\frac{1}{2}}

We have to find the derivative of the function

y=\frac{1}{2}ln(x-4)

By using lna^b=blna

Differentiate w.r.t x

\frac{dy}{dx}=\frac{1}{2}\times \frac{1}{x-4}

By using formula

\frac{d(lnx)}{dx}=\frac{1}{x}

\frac{dy}{dx}=\frac{1}{2(x-4)}

Hence, the derivative of function

\frac{dy}{dx}=\frac{1}{2(x-4)}

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