Solve x^2%7/4sqrt{85*879sqrt{85}}

$${ x }^{ 2 } \% \frac{ 7 }{ 4 } \sqrt{ 85 \times 879 \sqrt{ 85 } }$$

Evaluate

$$\frac{7\sqrt[4]{474498154125}x^{2}}{400}$$

Solution Steps

Multiply 85 and 879 to get 74715.

$$\frac{x^{2}}{100}\times \frac{7}{4}\sqrt{74715\sqrt{85}}$$

Multiply \frac{x^{2}}{100} times \frac{7}{4} by multiplying numerator times numerator and denominator times denominator.

$$\frac{x^{2}\times 7}{100\times 4}\sqrt{74715\sqrt{85}}$$

Express \frac{x^{2}\times 7}{100\times 4}\sqrt{74715\sqrt{85}} as a single fraction.

$$\frac{x^{2}\times 7\sqrt{74715\sqrt{85}}}{100\times 4}$$

Multiply 100 and 4 to get 400.

$$\frac{x^{2}\times 7\sqrt{74715\sqrt{85}}}{400}$$

Differentiate w.r.t. x

$$\frac{7\sqrt[4]{474498154125}x}{200}$$