Exercise
$\frac{d}{dx}\:y=\:\sqrt{2x^2-3}$
Step-by-step Solution
Learn how to solve differential equations problems step by step online. Find the implicit derivative d/dx(y=(2x^2-3)^(1/2)). Apply implicit differentiation by taking the derivative of both sides of the equation with respect to the differentiation variable. The derivative of the linear function is equal to 1. The power rule for differentiation states that if n is a real number and f(x) = x^n, then f'(x) = nx^{n-1}. The derivative of a sum of two or more functions is the sum of the derivatives of each function.
Find the implicit derivative d/dx(y=(2x^2-3)^(1/2))
Final answer to the exercise
$y^{\prime}=\frac{2x}{\sqrt{2x^2-3}}$