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The derivative of a sum of two or more functions is the sum of the derivatives of each function

Learn how to solve differential calculus problems step by step online.

$\frac{d}{dx}\left(10\sqrt{x^2+25}\right)+\frac{d}{dx}\left(-50\right)$

Learn how to solve differential calculus problems step by step online. Find the derivative of 10(x^2+25)^1/2-50. 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 (-50) is equal to zero. The derivative of a function multiplied by a constant (10) is equal to the constant times the derivative of the function. The power rule for differentiation states that if n is a real number and f(x) = x^n, then f'(x) = nx^{n-1}.

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