derivative
f(x)=(4x⁷+6)(x⁵+7√5x³-x)
You asked:
Find the derivative of the function \(f\left( x \right) = \left(4 \cdot {x}^{7} + 6\right) \cdot \left({x}^{5} + 7 \cdot \sqrt{5} \cdot {x}^{3} - x\right)\) with respect to \(x\).
MathBot Answer:
\[\frac{d f}{d x} = 28 x^{6} \left(x^{5} + 7 \sqrt{5} x^{3} - x\right) + \left(4 x^{7} + 6\right) \left(5 x^{4} + 21 \sqrt{5} x^{2} - 1\right)\]