Find the second derivative of the function y = 4x^2 ln 7x. d^2y / dx^2 =
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Given function: y=4x^2ln(7x) Using the product rule, let u=4x^2 and v=ln(7x). u' = 8x (derivative of 4x^2) v' = 1/x (derivative of ln(7x)) Applying the product rule: (uv)' = u'v + uv' y' = (8x)(ln(7x)) + (4x^2)(1/x) y' = 8xln(7x) + 4x Show more…
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