Exercise
$\frac{d}{dx}\:y^2=xy+1$
Step-by-step Solution
Learn how to solve problems step by step online. Find the implicit derivative d/dx(y^2=xy+1). Apply implicit differentiation by taking the derivative of both sides of the equation with respect to the differentiation variable. The power rule for differentiation states that if n is a real number and f(x) = x^n, then f'(x) = nx^{n-1}. Any expression to the power of 1 is equal to that same expression. The derivative of the linear function is equal to 1.
Find the implicit derivative d/dx(y^2=xy+1)
Final answer to the exercise
$y^{\prime}=\frac{y}{2y-x}$