Question

find dy/ dx y=3/x+5sinx​

Answer 1

Explanation:

Given

y= 3/ x+5sinx

$y = \frac{3}{x + 5 \sin(x) } \\ \\ \frac{dy}{dx} = \frac{d}{dx} ( \frac{3}{x + 5 \sin(x) }) \\ \\ = \frac{ - 3}{(x + 5 \sin(x))^{2} } ( \frac{d}{dx} (x + 5 \sin(x) ) \\ \\ = \frac{ - 3}{(x + 5 \sin(x))^{2} } (1 + 5 \cos(x) ) \\ \\ = \frac{ - 3(1 + 5 \cos(x)) }{(x + 5 \sin(x))^{2} }$

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