(sqrt(cos(x))cos(400x)+sqrt
(abs(x))-0.4)(4-xx) ^ 0.1

\left(\frac{x}{2\left|x\right|\sqrt{\left|x\right|}}-\frac{\sin \left(x\right)\cos \left(400x\right)}{2\sqrt{\cos \left(x\right)}}-400\sin \left(400x\right)\sqrt{\cos \left(x\right)}\right)\left(4-x^{1.1}\right)+\left(-1.1x^{0.1}\right)\left(\cos \left(400x\right)\sqrt{\cos \left(x\right)}+\sqrt{\left|x\right|}-0.4\right)

Step-by-step explanation:

\frac{d}{dx}\left(\left(\sqrt{\cos \left(x\right)}\cos \left(400x\right)+\sqrt{\left|x\right|}-0.4\right)\left(4-xx^{0.1}\right)\right)

=\left(\cos \left(400x\right)\sqrt{\cos \left(x\right)}+\sqrt{\left|x\right|}-0.4\right)\left(4-x^{1.1}\right)

=\frac{d}{dx}\left(\cos \left(400x\right)\sqrt{\cos \left(x\right)}+\sqrt{\left|x\right|}-0.4\right)\left(4-x^{1.1}\right)+\frac{d}{dx}\left(4-x^{1.1}\right)\left(\cos \left(400x\right)\sqrt{\cos \left(x\right)}+\sqrt{\left|x\right|}-0.4\right)

=\frac{x}{2\left|x\right|\sqrt{\left|x\right|}}-\frac{\sin \left(x\right)\cos \left(400x\right)}{2\sqrt{\cos \left(x\right)}}-400\sin \left(400x\right)\sqrt{\cos \left(x\right)}