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
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Apply the product rule for differentiation: $(f\cdot g)'=f'\cdot g+f\cdot g'$, where $f=e^{ax}$ and $g=\sin\left(bx\right)$
Learn how to solve product rule of differentiation problems step by step online.
$\frac{d}{dx}\left(e^{ax}\right)\sin\left(bx\right)+e^{ax}\frac{d}{dx}\left(\sin\left(bx\right)\right)$
Learn how to solve product rule of differentiation problems step by step online. Find the derivative of e^(ax)sin(bx). Apply the product rule for differentiation: (f\cdot g)'=f'\cdot g+f\cdot g', where f=e^{ax} and g=\sin\left(bx\right). The derivative of the sine of a function is equal to the cosine of that function times the derivative of that function, in other words, if {f(x) = \sin(x)}, then {f'(x) = \cos(x)\cdot D_x(x)}. The derivative of a function multiplied by a constant is equal to the constant times the derivative of the function. The derivative of the linear function is equal to 1.
