What is the derivative of 3*(sqrt x) - (sqrtx^3)?

1 Answer
ali ergin
Mar 11, 2016

d/(d x)(3*sqrt x-sqrt (x^3))=3/2*((sqrtx-sqrt2))/x

Explanation:

d/(d x)(3*sqrt x-sqrt (x^3))=?
(3*1)/(2sqrt x)-(3x^2)/(2sqrt(x^3))
(3*1)/(2sqrt x color(green)(sqrt (x^3)))-(3x^2)/(2sqrt(x^3)color(green)(sqrt2))
(3sqrt (x^3)-3x^2sqrt2)/(2sqrt(x^4))
(3sqrt (x^3)-3x^2sqrt2)/(2x^2)
(3cancel(x))/(2)((sqrtx-xsqrt2)/cancel((x^2)))
d/(d x)(3*sqrt x-sqrt (x^3))=3/2*((sqrtx-sqrt2))/x

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