first derivative of 3x(18x^4+ 13/x+1)
You asked:
Find the 1st derivative of the function \(3 \cdot x \cdot \left(18 \cdot {x}^{4} + \frac{13}{x} + 1\right)\) with respect to \(x\).
MathBot Answer:
\[\frac{d}{d x}\left[3 \cdot x \cdot \left(18 \cdot {x}^{4} + \frac{13}{x} + 1\right)\right] = 54 x^{4} + x \left(216 x^{3} - \frac{39}{x^{2}}\right) + 3 + \frac{39}{x}\]