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nataly862011 [7]
3 years ago
14

Find derivative of (x^2+3)^1/2

Mathematics
2 answers:
stiks02 [169]3 years ago
8 0
Derivative is this picture
ki77a [65]3 years ago
5 0

Answer:   \bold{\dfrac{x}{\sqrt{x^2+3}}}

<u>Step-by-step explanation:</u>

Use the chain rule: the derivative of the term multiplied by the derivative of the inside

f=(x^2+3)^{\frac{1}{2}}\\\\f'=\dfrac{1}{2}(x^2+3)^{-\frac{1}{2}}\cdot (2x)\\\\\\.\ =x(x^2+3)^{-\frac{1}{2}}\\\\\\.\ =\dfrac{x}{\sqrt{x^2+3}}

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