Final answer to the problem
$\frac{1}{1+\left(x+3y\right)^2}\left(1+3y^{\prime}\right)=x^4$
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Step-by-step Solution
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- Find the derivative using the definition
- Exact Differential Equation
- Linear Differential Equation
- Separable Differential Equation
- Homogeneous Differential Equation
- Find the derivative using the product rule
- Find the derivative using the quotient rule
- Find the derivative using logarithmic differentiation
- Find the derivative
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Taking the derivative of arctangent
Learn how to solve inverse trigonometric functions differentiation problems step by step online.
$\frac{1}{1+\left(x+3y\right)^2}\frac{d}{dx}\left(x+3y\right)=x^4$
Learn how to solve inverse trigonometric functions differentiation problems step by step online. Find the implicit derivative d/dx(arctan(x+3y))=x^4. Taking the derivative of arctangent. The derivative of a sum of two or more functions is the sum of the derivatives of each function. The derivative of the linear function times a constant, is equal to the constant. The derivative of the linear function is equal to 1.
Final answer to the problem
$\frac{1}{1+\left(x+3y\right)^2}\left(1+3y^{\prime}\right)=x^4$
