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Calculate the derivative of the function. HINT f(x) = [(1 + 2x) (8x)213 - f'(x) =
Calculate the derivative of the function. HINT f(x) = [(1 + 2x) (8x)213 - f'(x) =
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To calculate the derivative of the function fx 1 2x4 8 x2 we can use the chain rule and the power rule Lets break it down step by step Given function fx 1 2x 8 x23 Lets first differentiate the inner functions 1 Differentiate 1 2x4 using the chain rule 12x 41 2x 2 812x 2 Differentiate 8 x using the chain rule 8x 28x 1 28 x Now we can differentiate the outer function y and v 28x 12x u where u 812 8x 3 3 1 2x 4 8 x 81 2x 3 1 2x 8x 28 x 3 1 2x 4 8 x 81 2x 28 x So the derivative of the function is fx 3 1 2x4 8 x ...
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Calculus
Authors: Jon Rogawski, Colin Adams, Robert Franzosa
4th Edition
1319055842, 9781319055844
