Final answer to the problem
$\frac{6e^{\arctan\left(3x^2\right)}x}{1+9x^{4}}$
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Step-by-step Solution
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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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1
Applying the derivative of the exponential function
$e^{\arctan\left(3x^2\right)}\frac{d}{dx}\left(\arctan\left(3x^2\right)\right)$
Learn how to solve power rule for derivatives problems step by step online.
$e^{\arctan\left(3x^2\right)}\frac{d}{dx}\left(\arctan\left(3x^2\right)\right)$
Learn how to solve power rule for derivatives problems step by step online. Find the derivative of e^arctan(3x^2). Applying the derivative of the exponential function. Taking the derivative of arctangent. The power of a product is equal to the product of it's factors raised to the same power. The derivative of a function multiplied by a constant is equal to the constant times the derivative of the function.
Final answer to the problem
$\frac{6e^{\arctan\left(3x^2\right)}x}{1+9x^{4}}$
