Final Answer
Step-by-step Solution
Specify the solving method
Apply the product rule for differentiation: $(f\cdot g)'=f'\cdot g+f\cdot g'$, where $f=x^2$ and $g=\sqrt{1-x^2}$
Learn how to solve problems step by step online.
$\frac{d}{dx}\left(x^2\right)\sqrt{1-x^2}+x^2\frac{d}{dx}\left(\sqrt{1-x^2}\right)$
Learn how to solve problems step by step online. Find the derivative of x^2(1-x^2)^1/2. Apply the product rule for differentiation: (f\cdot g)'=f'\cdot g+f\cdot g', where f=x^2 and g=\sqrt{1-x^2}. 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 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.