Solve 2*1/k*1/k*2

$$2 \times \frac { 1 } { k } \times \frac { 1 } { k } \times 2$$

Evaluate

$$\frac{4}{k^{2}}$$

Solution Steps

Multiply \frac{1}{k} and \frac{1}{k} to get \left(\frac{1}{k}\right)^{2}.

$$2\times \left(\frac{1}{k}\right)^{2}\times 2$$

To raise \frac{1}{k} to a power, raise both numerator and denominator to the power and then divide.

$$2\times \frac{1^{2}}{k^{2}}\times 2$$

Multiply 2 and 2 to get 4.

$$4\times \frac{1^{2}}{k^{2}}$$

Calculate 1 to the power of 2 and get 1.

$$4\times \frac{1}{k^{2}}$$

Express 4\times \frac{1}{k^{2}} as a single fraction.

$$\frac{4}{k^{2}}$$

Differentiate w.r.t. k

$$-\frac{8}{k^{3}}$$