Final answer to the problem
$32x^{31}$
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Step-by-step Solution
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- Find the derivative using the definition
- Find the derivative using the product rule
- Find the derivative using the quotient rule
- Find the derivative using logarithmic differentiation
- Find the derivative
- Integrate by partial fractions
- Product of Binomials with Common Term
- FOIL Method
- Integrate by substitution
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1
The power rule for differentiation states that if $n$ is a real number and $f(x) = x^n$, then $f'(x) = nx^{n-1}$
$32x^{\left(32-1\right)}$
2
Subtract the values $32$ and $-1$
$32x^{31}$
Final answer to the problem
$32x^{31}$
