Question

if y=1/2x+7 , then find dy/dx​

Answer 1

Heya friend,

Here we go !!!

Answer:

$\frac{2x+5}{(2x+7)^{2} }$

Explanation:

y = $\frac{1}{2x+7}$

By Applying quotient rule, which states that ,

$\frac{d}{dx} (\frac{a}{b} ) = \frac{b\frac{d}{dx}(a) - a\frac{d}{dx}(b) }{(b)^{2} }$

Here,

$\frac{dy}{dx}$ = $\frac{(2x+7) \frac{d}{dx}(1)-(1)\frac{d}{dx}(2x+7) }{(2x+7)^{2} }$

$\frac{dy}{dx} = \frac{(2x+7)0- 1(2)}{(2x+7)^{2} }$

$\frac{dy}{dx} = \frac{2x+5}{(2x+7)^{2} }$

Thanks !

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