Physics, asked by preetisingh9351, 10 months ago

find dy/ dx y=3/x+5sinx​

Answers

Answered by PharohX
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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