Find the derivative of f(x) = 8*sqrt((2x^8+x^2-1)^9)
You asked:
Find the derivative of the function \(f\left( x \right) = 8 \sqrt{{\left( 2 {x}^{8} + {x}^{2} - 1 \right)}^{9}}\) with respect to \(x\).
MathBot Answer:
\[\frac{d f}{d x} = \frac{4 \cdot \left(144 x^{7} + 18 x\right) \sqrt{\left(2 x^{8} + x^{2} - 1\right)^{9}}}{2 x^{8} + x^{2} - 1}\]