Math, asked by Hrushi279, 1 year ago

if y=2x then dy/dx=?

Answers

Answered by faizaankhanpatp3bt9p
1
u can cancel d and d 

u get y/x

y/x = 2x/x 
     = 2
hence ur answer is 2 

hope it helped


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Answered by pulakmath007
0

If y = 2x then dy/dx = 2

Given :

y = 2x

To find :

The value of dy/dx

Solution :

Step 1 of 2 :

Write down the given function

Here the given function is

y = 2x

Step 2 of 2 :

Find the value of dy/dx

\displaystyle \sf{y = 2x  }

Differentiating both sides with respect to x we get

\displaystyle \sf{ \frac{dy}{dx}  =  \frac{d}{dx} (2x)  }

\displaystyle \sf{ \implies  \frac{dy}{dx}  = 2 \frac{d}{dx} ( {x}^{1} )  }

\displaystyle \sf{ \implies  \frac{dy}{dx}  = 2 \times 1 \times  {x}^{1 - 1}  \:  \:  \: \bigg[ \:  \because \:  \frac{d}{dx}( {x}^{n} ) = n {x}^{n - 1}  \bigg]  }

\displaystyle \sf{ \implies  \frac{dy}{dx}  = 2 \times  {x}^{0} }

\displaystyle \sf{ \implies  \frac{dy}{dx}  = 2 \times  1 }

\displaystyle \sf{ \implies  \frac{dy}{dx}  = 2 }

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