Solve 7ef*4e/f^4

$$7 e f \times \frac { 4 e } { f ^ { 4 } }$$

Evaluate

$$\frac{28e^{2}}{f^{3}}$$

Solution Steps

Express 7\times \frac{4e}{f^{4}} as a single fraction.

$$\frac{7\times 4e}{f^{4}}ef$$

Multiply 7 and 4 to get 28.

$$\frac{28e}{f^{4}}ef$$

Express \frac{28e}{f^{4}}e as a single fraction.

$$\frac{28ee}{f^{4}}f$$

Express \frac{28ee}{f^{4}}f as a single fraction.

$$\frac{28eef}{f^{4}}$$

Cancel out f in both numerator and denominator.

$$\frac{28ee}{f^{3}}$$

Multiply e and e to get e^{2}.

$$\frac{28e^{2}}{f^{3}}$$

Differentiate w.r.t. f

$$-\frac{84e^{2}}{f^{4}}$$