Question

if y= (2x² – 3x+4) then what is dy/dx?​

Answer 1

Step-by-step explanation:

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Answer 2

If y = (2x² - 3x + 4) then dy/dx = 4x - 3

Given :

The function y = (2x² - 3x + 4)

To find :

The value of dy/dx

Solution :

Step 1 of 2 :

Write down the given function

The given function is

y = (2x² - 3x + 4)

Step 2 of 2 :

Find the value of dy/dx

$\displaystyle \sf{ y = 2 {x}^{2} - 3x + 4 }$

Differentiating both sides with respect to x we get

$\displaystyle \sf{ \frac{dy}{dx} =\frac{d}{dx}( 2 {x}^{2} - 3x + 4) }$

$\displaystyle \sf{ \implies \frac{dy}{dx} =\frac{d}{dx}( 2 {x}^{2} ) -\frac{d}{dx}( 3x) + \frac{d}{dx}(4) }$

$\displaystyle \sf{ \implies \frac{dy}{dx} =2\frac{d}{dx}( {x}^{2} ) -3\frac{d}{dx}( x) + \frac{d}{dx}(4) }$

$\displaystyle \sf{ \implies \frac{dy}{dx} =2.2 {x}^{2 - 1} - 3. {x}^{1 - 1} + 0}$

$\displaystyle \sf{ \implies \frac{dy}{dx} = 4x - 3}$

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