Final answer to the problem
Step-by-step Solution
How should I solve this problem?
- Find the derivative using logarithmic differentiation
- Find the derivative using the definition
- Find the derivative using the product rule
- Find the derivative using the quotient rule
- Find the derivative
- Integrate by partial fractions
- Product of Binomials with Common Term
- FOIL Method
- Integrate by substitution
- Integrate by parts
- Load more...
Using the power rule of logarithms: $\log_a(x^n)=n\cdot\log_a(x)$
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$\frac{d}{dx}\left(8x\ln\left(5x\right)\right)$
Learn how to solve problems step by step online. Find the derivative using logarithmic differentiation method d/dx(ln((5x)^(8x))). Using the power rule of logarithms: \log_a(x^n)=n\cdot\log_a(x). Applying the product rule for logarithms: \log_b\left(MN\right)=\log_b\left(M\right)+\log_b\left(N\right). The derivative of a function multiplied by a constant is equal to the constant times the derivative of the function. Apply the product rule for differentiation: (f\cdot g)'=f'\cdot g+f\cdot g', where f=.