Final Answer
Step-by-step Solution
Specify the solving method
Simplify the derivative by applying the properties of logarithms
Learn how to solve implicit differentiation problems step by step online.
$\frac{d}{dx}\left(\frac{x^2}{\left(a^2+y^2\right)b^2}=1\right)$
Learn how to solve implicit differentiation problems step by step online. Find the implicit derivative d/dx(((x^2)/(a^2+y^2))/(b^2)=1). Simplify the derivative by applying the properties of logarithms. Apply implicit differentiation by taking the derivative of both sides of the equation with respect to the differentiation variable. The derivative of the constant function (1) is equal to zero. Apply the quotient rule for differentiation, which states that if f(x) and g(x) are functions and h(x) is the function defined by {\displaystyle h(x) = \frac{f(x)}{g(x)}}, where {g(x) \neq 0}, then {\displaystyle h'(x) = \frac{f'(x) \cdot g(x) - g'(x) \cdot f(x)}{g(x)^2}}.