There are 1 questions in this calculation: for each question, the 1 derivative of x is calculated.
Note that variables are case sensitive.\[ \begin{equation}\begin{split}[1/1]Find\ the\ first\ derivative\ of\ function\ (25972.7 + 14450*1.5x)*0.078(146.6 + 1.7x*0.25)(1 + 0.5 + 2x)x + (25972.7 + 14450*1.5x)*0.078(1 - x)\ with\ respect\ to\ x:\\\end{split}\end{equation} \]
\[ \begin{equation}\begin{split}\\Solution:&\\ &Primitive\ function\ = 296992.62996x + 148496.31498x + 593985.25992x^{2} + 860.995005x^{2} + 430.4975025x^{2} + 1721.99001x^{3} + 247849.29x^{2} + 123924.645x^{2} + 495698.58x^{3} + 718.52625x^{3} + 359.263125x^{3} + 1437.0525x^{4} - 2025.8706x + 1690.65x - 1690.65x^{2} + 2025.8706\\&\color{blue}{The\ first\ derivative\ function:}\\&\frac{d\left( 296992.62996x + 148496.31498x + 593985.25992x^{2} + 860.995005x^{2} + 430.4975025x^{2} + 1721.99001x^{3} + 247849.29x^{2} + 123924.645x^{2} + 495698.58x^{3} + 718.52625x^{3} + 359.263125x^{3} + 1437.0525x^{4} - 2025.8706x + 1690.65x - 1690.65x^{2} + 2025.8706\right)}{dx}\\=&296992.62996 + 148496.31498 + 593985.25992*2x + 860.995005*2x + 430.4975025*2x + 1721.99001*3x^{2} + 247849.29*2x + 123924.645*2x + 495698.58*3x^{2} + 718.52625*3x^{2} + 359.263125*3x^{2} + 1437.0525*4x^{3} - 2025.8706 + 1690.65 - 1690.65*2x + 0\\=&1187970.51984x + 1721.99001x + 860.995005x + 5165.97003x^{2} + 495698.58x + 247849.29x + 1487095.74x^{2} + 2155.57875x^{2} + 1077.789375x^{2} + 5748.21x^{3} - 3381.3x + 445153.72434\\ \end{split}\end{equation} \]Your problem has not been solved here? Please go to the Hot Problems section!