Problem 888

Sir SagarJuly 24, 2015July 24, 20150

Find y’ if y = $\frac{-18}{\sqrt[5]{x}}$

Solution:-

Rewrite the denominator with a negative rational exponent.

y = -18x^-1/5

Use the power rule to find the derivative of the function x^-1/5

$\frac{d}{dx} (x^{-1/5}) =\frac{-1}{5}(x^{-1/5 - 1})$

= $\frac{-1}{5}(x^{-6/5})$

Multiply the derivative by the constant to find y’

y’ = -18( $\frac{-1}{5}(x^{-6/5})$ )= $\frac{18}{5}x^{-6/5}$

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