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FIND DERIVATIVE OF F(X)=X-3XSQRT X/sqrt x?
used Quotient rule y'=(sqrt x)d/dx(x-3x sqrt x)-(x-3x sqrt x) d/dx (sqrt x)/sqrt x. I get y' =x^-1/2(1-3x^-1/2-1+3x^-1/2*x^-1/2/x^-1/2 from here, I am stuck. Please help me out....
1 Answer
- HemantLv 71 decade agoFavorite Answer
You need an easier approach.
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y = ( x - 3x√x ) / √x ............ now split
..= ( x / √x ) - ( 3x√x / √x )
..= √x - 3x
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∴ y = (√x) - 3(x)
∴ dy/dx = d/dx( √x ) - 3· d/dx( x )
. . . . . . .= [ 1 / (2√x) ] - 3( 1 )
. . . . . . .= ( 1 - 6√x ) / (2√x) ................ Ans.
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Happy To Help !
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