Question

I have the answercan someone please check me..
Find the derivative of the function
j(x)=square root x^10-x^8

Answer 1

\[j(x)=\sqrt{x ^{10}-x ^{8}}\]

Answer 2

What answer did you get?

Answer 3

I got \[\frac{ 5x^9-4x^7 }{ (x ^{10}-x^8)^{\frac{ 3 }{ 2 }}}\]

Answer 4

Is that the right answer

Answer 5

I got x=0.

Answer 6

how did you get that

Answer 7

your answer was close. you need to use the formula if x^10-x^8 = u, then j(x)=u^1/2
dj(x)/dx = (1/2)*(u^-1/2)*du
and du = 10*x^9-8*x^7
so you can simplify the expression: (10*x^9-8*x^7)/(2*sqrt(x^10-x^8))

Answer 8

your answer was only slightly different from the correct answer. the 3/2 should be a 1/2