Question

if y=x^2-5x+7.then find Dy/ dx?

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Answer 1

Given that ,

The function is y = (x)² - 5x + 7

Differentiating with respect to x , we get

$\sf \mapsto \frac{dy}{dx} = \frac{d \{ {(x)}^{2} - 5x + 7 \}}{dx} \\ \\ \sf \mapsto \frac{dy}{dx} =2x - 5 + 0 \\ \\ \sf \mapsto \frac{dy}{dx} =2x - 5$

$\sf \large{ \underline{Remmember :-}}$

Power rule :

$\sf \mapsto \frac{d {(x)}^{n} }{dx} = n {(x)}^{n - 1}$

Constant rule :

$\sf \mapsto \frac{d(Constant)}{dx} = 0$

Answer 2

Given that ,

The function is y = (x)² - 5x + 7

Differentiating with respect to x ,

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

$\sf \mapsto \frac{dy}{dx} =2x - 5 + 0$

$\sf \mapsto \frac{dy}{dx} =2x - 5$

$\sf \large{ \underline{Remmember :-}}$

Power rule :

$\sf \mapsto \frac{d {(x)}^{n} }{dx} = n {(x)}^{n - 1}$

Constant rule :

$\sf \mapsto \frac{d(Constant)}{dx} = 0$