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Apply the product rule for differentiation: $(f\cdot g)'=f'\cdot g+f\cdot g'$, where $f=
Learn how to solve product rule of differentiation problems step by step online.
$\frac{d}{dx}\left(6^{-21x}\right)\cos\left(2x^2\right)+6^{-21x}\frac{d}{dx}\left(\cos\left(2x^2\right)\right)$
Learn how to solve product rule of differentiation problems step by step online. Find the derivative using the product rule d/dx(6^(-21x)cos(2x^2)). Apply the product rule for differentiation: (f\cdot g)'=f'\cdot g+f\cdot g', where f=. 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). Apply the product rule for differentiation: (f\cdot g)'=f'\cdot g+f\cdot g', where f=. Simplify the product -(\frac{d}{dx}\left(2\right)x^2+2\frac{d}{dx}\left(x^2\right)).