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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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Apply the product rule for differentiation: $(f\cdot g)'=f'\cdot g+f\cdot g'$, where $f=\sin\left(3x+5\right)$ and $g=\arccos\left(2x^3+3x-1\right)^2$
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$\arccos\left(2x^3+3x-1\right)^2\frac{d}{dx}\left(\sin\left(3x+5\right)\right)+\frac{d}{dx}\left(\arccos\left(2x^3+3x-1\right)^2\right)\sin\left(3x+5\right)$
Learn how to solve problems step by step online. Find the derivative of sin(3x+5)arccos(2x^3+3x+-1)^2. Apply the product rule for differentiation: (f\cdot g)'=f'\cdot g+f\cdot g', where f=\sin\left(3x+5\right) and g=\arccos\left(2x^3+3x-1\right)^2. The power rule for differentiation states that if n is a real number and f(x) = x^n, then f'(x) = nx^{n-1}. Any expression to the power of 1 is equal to that same expression. 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)}.
