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Simplify the derivative by applying the properties of logarithms
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$\frac{d}{dx}\left(y=\frac{\left(3^{\left(1-7x\right)}+\arcsin\left(\sqrt{x}\right)\right)x}{log}\right)$
Learn how to solve problems step by step online. Find the implicit derivative d/dx(y=(3^(1-7x)+arcsin(x^1/2))/((log^1)/x)). Simplify the derivative by applying the properties of logarithms. Apply implicit differentiation by taking the derivative of both sides of the equation with respect to the differentiation variable. The derivative of the linear function is equal to 1. The derivative of a function multiplied by a constant (\frac{1}{log}) is equal to the constant times the derivative of the function.