\(\frac{\mathrm{d}y}{\mathrm{d}x}\sqrt[4]{1+2x+x^{3}}\)
You asked:
Evaluate the expression: \(\frac{d}{dx}\left[y\left( x \right)\right] \cdot \sqrt[4]{1 + 2 x + {x}^{3}}\)
MathBot Answer:
Evaluated
\(\displaystyle \frac{d}{dx}\left[y\left( x \right)\right] \cdot \sqrt[4]{1 + 2 x + {x}^{3}} = \sqrt[4]{x^{3} + 2 x + 1} \frac{d}{d x} y{\left(x \right)} \)
Expanded
\[\frac{d}{dx}\left[y\left( x \right)\right] \cdot \sqrt[4]{1 + 2 x + {x}^{3}} = \sqrt[4]{x^{3} + 2 x + 1} \frac{d}{d x} y{\left(x \right)}\]