Determine and simplify the first derivatives of the following functions. F(x)=\frac{1}{\sqrt[3]{x}}

Susan Nall

Susan Nall

Answered question

2021-12-06

Determine and simplify the first derivatives of the following functions.
F(x)=13{x}

Answer & Explanation

zesponderyd

zesponderyd

Beginner2021-12-07Added 41 answers

Step 1
According to the power rule, the derivative of a function f(x)=xn is given by:
f(x)=ddx[xn]=nxn1
Step 2
The given function can be simplified as shown below:
F(x)=13{x}
=1x13
=x13
The derivative of this function will be given by:
F(x)=ddx[x13]
=(13)x(131)
=13x43
=13x43

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