009A Sample Midterm 2, Problem 4

Find the derivatives of the following functions. Do not simplify.

a) $f(x)=x^{3}(x^{\frac {4}{3}}-1)$

b) $g(x)={\frac {x^{3}+x^{-3}}{1+6x}}$ where Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle x>0}

Foundations:

Solution:

(a)

Step 1:

Step 2:

(b)

Step 1:

Step 2:

Final Answer:
(a)
(b)

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