Solve 10,431^4/x-x-x-x/2

$$\frac { \frac { 10,431 ^ { 4 } } { x - x - x - x } } { 2 }$$

Evaluate

$$-\frac{11838693626789121}{4x}$$

Solution Steps

Express \frac{\frac{10431^{4}}{x-x-x-x}}{2} as a single fraction.

$$\frac{10431^{4}}{\left(x-x-x-x\right)\times 2}$$

Calculate 10431 to the power of 4 and get 11838693626789121.

$$\frac{11838693626789121}{\left(x-x-x-x\right)\times 2}$$

Combine x and -x to get 0.

$$\frac{11838693626789121}{\left(-x-x\right)\times 2}$$

Combine -x and -x to get -2x.

$$\frac{11838693626789121}{-2x\times 2}$$

Multiply -2 and 2 to get -4.

$$\frac{11838693626789121}{-4x}$$

Differentiate w.r.t. x

$$\frac{11838693626789121}{4x^{2}}$$