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))))