use differentiation rules to find the derivative of the function.\nf(x) = \\sqrt4{x}\nf(x) =
use differentiation rules to find the derivative of the function.\nf(x) = \\sqrt4{x}\nf(x) =
Answer
Explanation:
Step1: Rewrite function with exponent
( f(x) = x^{1/4} )
Step2: Apply power rule
( f'(x) = \frac{1}{4}x^{(1/4 - 1)} )
Step3: Simplify exponent
( f'(x) = \frac{1}{4}x^{-3/4} )
Answer:
( \frac{1}{4}x^{-3/4} ) (or equivalently ( \frac{1}{4\sqrt[4]{x^3}} ))