Solve 8/x^477x/2x

$$\frac { 8 } { x ^ { 47 } } \frac { 7 x } { 2 x }$$

Evaluate

$$\frac{28}{x^{47}}$$

Solution Steps

Cancel out x in both numerator and denominator.

$$\frac{8}{x^{47}}\times \frac{7}{2}$$

Multiply \frac{8}{x^{47}} times \frac{7}{2} by multiplying numerator times numerator and denominator times denominator.

$$\frac{8\times 7}{x^{47}\times 2}$$

Cancel out 2 in both numerator and denominator.

$$\frac{4\times 7}{x^{47}}$$

Multiply 4 and 7 to get 28.

$$\frac{28}{x^{47}}$$

Differentiate w.r.t. x

$$-\frac{1316}{x^{48}}$$