Final answer to the problem
Step-by-step Solution
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- 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
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Apply the product rule for differentiation: $(f\cdot g)'=f'\cdot g+f\cdot g'$, where $f=x^2$ and $g=e^x\mathrm{tanh}\left(x^3+2\right)$
Learn how to solve sum rule of differentiation problems step by step online.
$\frac{d}{dx}\left(x^2\right)e^x\mathrm{tanh}\left(x^3+2\right)+x^2\frac{d}{dx}\left(e^x\mathrm{tanh}\left(x^3+2\right)\right)$
Learn how to solve sum rule of differentiation problems step by step online. Find the derivative of x^2e^xtanh(x^3+2). Apply the product rule for differentiation: (f\cdot g)'=f'\cdot g+f\cdot g', where f=x^2 and g=e^x\mathrm{tanh}\left(x^3+2\right). Apply the product rule for differentiation: (f\cdot g)'=f'\cdot g+f\cdot g', where f=e^x and g=\mathrm{tanh}\left(x^3+2\right). The power rule for differentiation states that if n is a real number and f(x) = x^n, then f'(x) = nx^{n-1}. Applying the derivative of the exponential function.