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  • Give answer! At any point on the curve y= f(x) , its is observed that with every elementry change in x , the corresponding elementary change in y is its 5 times . Then dy/dx equals

At any point on the curve y= f(x) , its is observed that with every elementry change in x , the corresponding elementary change in y is its 5 times . Then dy/dx equals

  • Option 1)

    1/5

  • Option 2)

    5

  • Option 3)

    2

  • Option 4)

    1/2

 

Answers (1)

best_answer

As we have learned

Differentiation -

Derivative  of a function  f(x) is defined as  f'(x) means  small increment  \delta x  in x  corresponding increment in the value of y  be  \delta y

- wherein

\frac{dy}{dx}=\lim_{\delta x\rightarrow o}\:\frac{dy}{dx}

=\lim_{\delta x\rightarrow o}\:\frac{f(x+\delta x)-f(x)}{\delta x}

 

 It is given \lim_{\Delta y\rightarrow 0}\Delta y=5\lim_{\Delta x\rightarrow 0}\Delta x\Rightarrow dy =5dx \Rightarrow dy/dx =5

 

 

 

 

 


Option 1)

1/5

Option 2)

5

Option 3)

2

Option 4)

1/2

Posted by

Himanshu

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