Evaluate
\frac{\left(\frac{7}{x}\right)^{\frac{7}{8}}\left(\sqrt[4]{7}\left(\sqrt{\sqrt{7x}+1}\left(\left(7x\right)^{\frac{3}{4}}+\sqrt{\sqrt{7x}+1}\right)+\sqrt{7x}\right)+21\sqrt{\sqrt{7x}+1}x^{\frac{3}{4}}\right)}{56\sqrt{\left(\sqrt{7x}+1\right)\left(\left(7x\right)^{\frac{3}{4}}+\sqrt{\sqrt{7x}+1}\right)}}
Differentiate w.r.t. x
\frac{7^{\frac{5}{8}}\left(2\sqrt{x}\left(\left(7x\right)^{\frac{3}{4}}+\sqrt{\sqrt{7x}+1}\right)\left(\left(\sqrt{7x}+1\right)\left(3\sqrt[4]{7x}\sqrt{\sqrt{7x}+1}+1\right)-\left(3\sqrt[4]{7x}\left(\sqrt{7x}+1\right)^{\frac{3}{2}}+3\sqrt{7x}+2\right)\right)+\sqrt{7\left(\sqrt{7x}+1\right)}\left(-112x^{2}-20\sqrt[4]{7}\sqrt{\sqrt{7x}+1}x^{\frac{5}{4}}-16\sqrt{7}x^{\frac{3}{2}}-2\sqrt{\sqrt{7x}+1}\times \left(7x\right)^{\frac{3}{4}}-8x-2\sqrt{7x}-1\right)\right)}{64x^{\frac{15}{8}}\left(\left(\sqrt{7x}+1\right)\left(\left(7x\right)^{\frac{3}{4}}+\sqrt{\sqrt{7x}+1}\right)\right)^{\frac{3}{2}}}
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