Solve 50:25!14:x

$$50 : 25 ! 14 : x$$

Evaluate

$$\frac{1}{22158871490472837120000x}$$

Solution Steps

The factorial of 25 is 15511210043330985984000000.

$$\frac{\frac{50}{15511210043330985984000000}\times 14}{x}$$

Reduce the fraction \frac{50}{15511210043330985984000000} to lowest terms by extracting and canceling out 50.

$$\frac{\frac{1}{310224200866619719680000}\times 14}{x}$$

Multiply \frac{1}{310224200866619719680000} and 14 to get \frac{14}{310224200866619719680000}.

$$\frac{\frac{14}{310224200866619719680000}}{x}$$

Reduce the fraction \frac{14}{310224200866619719680000} to lowest terms by extracting and canceling out 14.

$$\frac{\frac{1}{22158871490472837120000}}{x}$$

Express \frac{\frac{1}{22158871490472837120000}}{x} as a single fraction.

$$\frac{1}{22158871490472837120000x}$$

Differentiate w.r.t. x

$$-\frac{1}{22158871490472837120000x^{2}}$$