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Learn how to solve product rule of differentiation problems step by step online.
$\frac{d}{dx}\left(3^{\frac{1}{2}\left(x^2-1\right)}\right)$
Learn how to solve product rule of differentiation problems step by step online. Find the derivative using the product rule d/dx(3^(x^2-1)^1/2). Simplifying. Applying the derivative of the exponential function. Apply the product rule for differentiation: (f\cdot g)'=f'\cdot g+f\cdot g', where f=x^2-1 and g=\frac{1}{2}. The derivative of the constant function (\frac{1}{2}) is equal to zero.