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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 sum rule of differentiation problems step by step online.
$\frac{d}{dx}\left(5\arcsin\left(x\right)\right)+\frac{d}{dx}\left(- 3^x\right)+\frac{d}{dx}\left(x^3\right)+\frac{d}{dx}\left(-\ln\left(x\right)\right)+\frac{d}{dx}\left(\frac{1}{\sqrt[4]{x^{3}}}\right)$
Learn how to solve sum rule of differentiation problems step by step online. Find the derivative d/dx(5arcsin(x)-3^xx^3-ln(x)1/(x^3/4)) using the sum rule. The derivative of a sum of two or more functions is the sum of the derivatives of each function. The derivative of a function multiplied by a constant 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}. The derivative of the natural logarithm of a function is equal to the derivative of the function divided by that function. If f(x)=ln\:a (where a is a function of x), then \displaystyle f'(x)=\frac{a'}{a}.