find dydx for yx3x2712Solutionrearrange it taake x inside th

find dy/dx for y=x(3x^2+7)^(1/2)

Solution

rearrange it taake x inside the bracket with sqroot sign

: y = [ 3x4 + 7x2 ] 1/2

y\' = [ 12x3 + 14x ] /2* [ 3x4 + 7x2 ]1/2   

y\' =   [6x2 + 7]/ [ 3x2 + 7 ]1/2

find dy/dx for y=x(3x^2+7)^(1/2)Solutionrearrange it taake x inside the bracket with sqroot sign : y = [ 3x4 + 7x2 ] 1/2 y\' = [ 12x3 + 14x ] /2* [ 3x4 + 7x2 ]1

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