Exercise
$\frac{d}{dx}7y^2+5x=-2y-3x^2$
Step-by-step Solution
Learn how to solve problems step by step online. Find the implicit derivative d/dx(7y^2+5x=-2y-3x^2). Apply implicit differentiation by taking the derivative of both sides of the equation with respect to the differentiation variable. The derivative of a sum of two or more functions is the sum of the derivatives of each function. 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.
Find the implicit derivative d/dx(7y^2+5x=-2y-3x^2)
Final answer to the exercise
$y^{\prime}=\frac{-6x-5}{2\left(7y+1\right)}$