Final answer to the problem
$\left(2y^3+1\right)x^{2y^3}$
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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 $f'(x) = nx^{n-1}$
Learn how to solve definition of derivative problems step by step online.
$\left(2y^3+1\right)x^{\left(2y^3+1-1\right)}$
Learn how to solve definition of derivative problems step by step online. Find the derivative d/dx(x^(2y^3+1)) using the power rule. The power rule for differentiation states that if n is a real number and f(x) = x^n, then f'(x) = nx^{n-1}. Subtract the values 1 and -1.
Final answer to the problem
$\left(2y^3+1\right)x^{2y^3}$
