Mathematics
语言:中文
Language:English

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.
\[ \begin{equation}\begin{split}[1/1]Find\ the\ first\ derivative\ of\ function\ {cos({x}^{3} + {x}^{2})}^{2}\ with\ respect\ to\ x:\\\end{split}\end{equation} \]\[ \begin{equation}\begin{split}\\Solution:&\\ &Primitive\ function\ = cos^{2}(x^{3} + x^{2})\\&\color{blue}{The\ first\ derivative\ function:}\\&\frac{d\left( cos^{2}(x^{3} + x^{2})\right)}{dx}\\=&-2cos(x^{3} + x^{2})sin(x^{3} + x^{2})(3x^{2} + 2x)\\=&-6x^{2}sin(x^{3} + x^{2})cos(x^{3} + x^{2}) - 4xsin(x^{3} + x^{2})cos(x^{3} + x^{2})\\ \end{split}\end{equation} \]





Your problem has not been solved here? Please take a look at the  hot problems !


Return