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The derivative of a sum of two or more functions is the sum of the derivatives of each function
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$\frac{d}{dx}\left(5\arcsin\left(x\right)\right)+\frac{d}{dx}\left(- 3^x\right)+\frac{d}{dx}\left(x^3\right)+\frac{d}{dx}\left(-\ln\left(x\right)\right)+\frac{d}{dx}\left(\frac{1}{\sqrt[4]{x^{3}}}\right)$
Learn how to solve 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. Apply the product rule for differentiation: (f\cdot g)'=f'\cdot g+f\cdot g', where f=5 and g=\arcsin\left(x\right). Apply the product rule for differentiation: (f\cdot g)'=f'\cdot g+f\cdot g', where f=-1 and g=3^x. Apply the product rule for differentiation: (f\cdot g)'=f'\cdot g+f\cdot g', where f=-1 and g=\ln\left(x\right).