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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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The derivative of a function multiplied by a constant is equal to the constant times the derivative of the function
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$4\frac{d}{dx}\left(x^3\left(x^2+4\right)\left(x+4\right)^2\arctan\left(2x\right)\right)$
Learn how to solve problems step by step online. Find the derivative of 4x^3(x^2+4)(x+4)^2arctan(2x). 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=x^3 and g=\left(x^2+4\right)\left(x+4\right)^2\arctan\left(2x\right). Apply the product rule for differentiation: (f\cdot g)'=f'\cdot g+f\cdot g', where f=x^2+4 and g=\left(x+4\right)^2\arctan\left(2x\right). Apply the product rule for differentiation: (f\cdot g)'=f'\cdot g+f\cdot g', where f=\left(x+4\right)^2 and g=\arctan\left(2x\right).
