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How do you find the derivative of #x^(3/4)#?

1 Answer

Apr 16, 2018

The derivative is #3/(4x^(1/4))# or #3/4x^(-1/4)#.

Explanation:

Use the power rule:

#color(white)=d/dx[x^color(red)(3/4)]#

#=color(red)(3/4)x^(color(red)(3/4)-1)#

#=color(red)(3/4)x^(color(red)(3/4)-4/4)#

#=color(red)(3/4)x^(-1/4)#

#=color(red)(3/(4color(black)(x^(1/4))))#

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