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Please help

Rewrite in index notation and then differentiate. Answer in the same form as the question.

y=-5x^2 √(x)

I think that
y=-5x^2(x)^(1)/(2)
is the first part rewriteing in index notation if u could tell me if I am right then differentiate just show each step as I know how to differentiate I just for some reason can get this question right.

User Eulanda
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6 votes

Answer:

I hope I've finally done justice to it.

Explanation:


y=-5x^2 √(x)


y=-5x^2(x)^(1)/(2)


y=-5( {x}^{2 + (1)/(2) }) = - 5 {x}^{ (5)/(2) }


(dy)/(dx) = - 5( (5)/(2)) {x}^{ (5)/(2) - 1 }


(dy)/(dx) = ( ( - 25)/(2)) {x}^{ (3)/(2) }


(dy)/(dx) = ( ( - 25)/(2)) \sqrt[3]{ {x}^(2) }

Please help Rewrite in index notation and then differentiate. Answer in the same form-example-1
User Simon Bergot
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