November 30, 2015

Homework Help: math-check my work

Posted by Scott on Friday, November 23, 2007 at 1:52pm.

Differentiate y=x(x4+5)3
d/dx = [x(x4+5)3]
d/dx = [f(x)g(x)] = f(x)g(x)+g(x)f(x)
d/dx = [x(x4+5)3] = x d/dx (x4+5)3 + (x4+5)3 d/dx x
g(x) = d/dx (x4+5)3 = 3(x4+5)2 4x
f(x) = d/dx (x) = 1
= (x) 3(x4+5)2 4x + (x4+5)3 1 (factor out the common form (x4+5)2 )
= (x4+5)2 [(x)(3)(4x)+ (x4+5)]
=(x4+5)2 (12x2+x4+5) (answer I got)

The right answer =(x4+5)2 (13x4+5)
Just trying to see where I went wrong.

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