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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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$\frac{d}{dx}\left(\sin\left(\sqrt{x}\right)^2\right)+\frac{d}{dx}\left(\frac{\ln\left(x\left(x^2-2\right)^2\right)}{4}\right)+\frac{d}{dx}\left(\frac{3}{5}\right)$
Learn how to solve problems step by step online. Find the derivative using logarithmic differentiation method d/dx(sin(x^1/2)^2+ln(x(x^2-2)^2)/4+3/5). The derivative of a sum of two or more functions is the sum of the derivatives of each function. Applying the product rule for logarithms: \log_b\left(MN\right)=\log_b\left(M\right)+\log_b\left(N\right). Using the power rule of logarithms: \log_a(x^n)=n\cdot\log_a(x). The derivative of the constant function (\frac{3}{5}) is equal to zero.