Final answer to the problem
Step-by-step Solution
How should I solve this problem?
- Choose an option
- 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
- Load more...
Apply the product rule for differentiation: $(f\cdot g)'=f'\cdot g+f\cdot g'$, where $f=x^x$ and $g=\sin\left(9x\right)^{9x}$
Learn how to solve differential calculus problems step by step online.
$\frac{d}{dx}\left(x^x\right)\sin\left(9x\right)^{9x}+x^x\frac{d}{dx}\left(\sin\left(9x\right)^{9x}\right)$
Learn how to solve differential calculus problems step by step online. Find the derivative of x^xsin(9x)^(9x). Apply the product rule for differentiation: (f\cdot g)'=f'\cdot g+f\cdot g', where f=x^x and g=\sin\left(9x\right)^{9x}. The derivative \frac{d}{dx}\left(x^x\right) results in \left(\ln\left(x\right)+1\right)x^x. The derivative \frac{d}{dx}\left(\sin\left(9x\right)^{9x}\right) results in 9\left(\ln\left(\sin\left(9x\right)\right)+\frac{9x\cos\left(9x\right)}{\sin\left(9x\right)}\right)\sin\left(9x\right)^{9x}. Simplify the derivative.
