Solving: $\frac{d}{dx}\left(y\sqrt{1+x^2}\right)$
Exercise
$y\sqrt{\left(1+x^2\right)}\frac{dy}{dx}$
Step-by-step Solution
Learn how to solve sum rule of differentiation problems step by step online. Find the derivative of y(1+x^2)^(1/2). The derivative of a function multiplied by a constant is equal to the constant times the derivative of the function. 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. The power rule for differentiation states that if n is a real number and f(x) = x^n, then f'(x) = nx^{n-1}.
Find the derivative of y(1+x^2)^(1/2)
Final answer to the exercise
$\frac{yx}{\sqrt{1+x^2}}$