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Applying the derivative of the exponential function
Learn how to solve product rule of differentiation problems step by step online.
$\ln\left(5\right)5^{\left(x^2+1\right)}\frac{d}{dx}\left(x^2+1\right)$
Learn how to solve product rule of differentiation problems step by step online. Find the derivative using the product rule d/dx(5^(x^2+1)). Applying the derivative of the exponential function. The derivative of a sum of two or more functions is the sum of the derivatives of each function. The derivative of the constant function (1) is equal to zero. The power rule for differentiation states that if n is a real number and f(x) = x^n, then f'(x) = nx^{n-1}.