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Learn how to solve differential calculus problems step by step online.
$\frac{d}{dx}\left(y^2\cos\left(x^2\right)\right)$
Learn how to solve differential calculus problems step by step online. Find the derivative of ycos(x^2)y. Simplifying. Apply the product rule for differentiation: (f\cdot g)'=f'\cdot g+f\cdot g', where f=. 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 the cosine of a function is equal to minus the sine of the function times the derivative of the function, in other words, if f(x) = \cos(x), then f'(x) = -\sin(x)\cdot D_x(x).