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Differentiate y = 7x(9x^4 - 8x)?

+2 votes

Can you please break it down.

asked Mar 8, 2013 in CALCULUS by andrew Scholar

1 Answer

+1 vote

 By Distributive law  Y= 7x(9x4) - 7x ( 8x )

   Y = 63x5 - 56x2

Differentiate each side with respective x  

dy/dx = d/dx ( 63x5 - 56x2)

dy/dx = d/dx ( 63x5 ) - d/dx (56x2)

 Recall: Constant multiply rule: d/dx(axn)=ad/dx(xn)

dy/dx = 63 ( d/dx (x5)) - 56 d/dx ( x2 )

 Recall: The power rule

d/dx(xn)= nx(n-1) 

substitute above formula in the differential equaqtion

dy/dx = 63 ( 5x5-1) - 56 ( 2x2-1 )

Simplify the above equation

dy/dx = 315x4 - 112x1

dy/dx= 315x4 - 112x

The differentiate of the above equation dy/dx = 315x4 - 112x.

                                                                                                   

 

                                             

 

answered Mar 8, 2013 by diane Scholar

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