Mathematics
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current location:Derivative function > Derivative function calculation history > Answer
    There are 1 questions in this calculation: for each question, the 1 derivative of x is calculated.
    Note that variables are case sensitive.
\[ \begin{equation}\begin{split}[1/1]Find\ the\ first\ derivative\ of\ function\ (\frac{4}{3})*3.14{(1.706x - 0.041{x}^{2} - 3.969)}^{3}\ with\ respect\ to\ x:\\\end{split}\end{equation} \]\[ \begin{equation}\begin{split}\\Solution:&\\ &Primitive\ function\ = 20.7876533096533x^{3} - 0.499586040853333x^{3} - 48.36236575968x^{2} - 0.499586040853333x^{3} + 0.0120064640533333x^{3} + 1.16228428848x^{2} - 48.36236575968x^{2} + 1.16228428848x^{2} + 112.51478880432x - 0.499586040853333x^{3} + 0.0120064640533333x^{3} + 1.16228428848x^{2} + 0.0120064640533333x^{3} - 0.000288549253333333x^{3} - 0.02793297528x^{2} + 1.16228428848x^{2} - 0.02793297528x^{2} - 2.70404826552x - 48.36236575968x^{2} + 1.16228428848x^{2} + 112.51478880432x + 1.16228428848x^{2} - 0.02793297528x^{2} - 2.70404826552x + 112.51478880432x - 2.70404826552x - 261.76506258168\\&\color{blue}{The\ first\ derivative\ function:}\\&\frac{d\left( 20.7876533096533x^{3} - 0.499586040853333x^{3} - 48.36236575968x^{2} - 0.499586040853333x^{3} + 0.0120064640533333x^{3} + 1.16228428848x^{2} - 48.36236575968x^{2} + 1.16228428848x^{2} + 112.51478880432x - 0.499586040853333x^{3} + 0.0120064640533333x^{3} + 1.16228428848x^{2} + 0.0120064640533333x^{3} - 0.000288549253333333x^{3} - 0.02793297528x^{2} + 1.16228428848x^{2} - 0.02793297528x^{2} - 2.70404826552x - 48.36236575968x^{2} + 1.16228428848x^{2} + 112.51478880432x + 1.16228428848x^{2} - 0.02793297528x^{2} - 2.70404826552x + 112.51478880432x - 2.70404826552x - 261.76506258168\right)}{dx}\\=&20.7876533096533*3x^{2} - 0.499586040853333*3x^{2} - 48.36236575968*2x - 0.499586040853333*3x^{2} + 0.0120064640533333*3x^{2} + 1.16228428848*2x - 48.36236575968*2x + 1.16228428848*2x + 112.51478880432 - 0.499586040853333*3x^{2} + 0.0120064640533333*3x^{2} + 1.16228428848*2x + 0.0120064640533333*3x^{2} - 0.000288549253333333*3x^{2} - 0.02793297528*2x + 1.16228428848*2x - 0.02793297528*2x - 2.70404826552 - 48.36236575968*2x + 1.16228428848*2x + 112.51478880432 + 1.16228428848*2x - 0.02793297528*2x - 2.70404826552 + 112.51478880432 - 2.70404826552 + 0\\=&62.36295992896x^{2} - 1.49875812256x^{2} - 96.72473151936x - 1.49875812256x^{2} + 0.03601939216x^{2} + 2.32456857696x - 96.72473151936x + 2.32456857696x - 1.49875812256x^{2} + 0.03601939216x^{2} + 2.32456857696x + 0.03601939216x^{2} - 0.00086564776x^{2} - 0.05586595056x + 2.32456857696x - 0.05586595056x - 96.72473151936x + 2.32456857696x + 2.32456857696x - 0.05586595056x + 329.4322216164\\ \end{split}\end{equation} \]





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