Find the derivative using the product rule $42x\left(7x^2-1\right)^2\sqrt{5x^3}+\left(7x^2-1\right)^3\frac{15x+8x}{2}\left(5x^3+4x^2\right)^{-\frac{1}{2}}$
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Learn how to solve product rule of differentiation problems step by step online. Find the derivative using the product rule 42x(7x^2-1)^2(5x^3)^1/2+(7x^2-1)^3(15x+8x)/2(5x^3+4x^2)^(-1/2). Simplifying. Applying the property of exponents, \displaystyle a^{-n}=\frac{1}{a^n}, where n is a number. Simplify the derivative.
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