Solve f(x)=-2/x*-3/5

$$f ( x ) = \frac { - 2 } { x } \times \frac { - 3 } { 5 }$$

Evaluate

$$\frac{6}{5x}$$

Solution Steps

Fraction \frac{-3}{5} can be rewritten as -\frac{3}{5} by extracting the negative sign.

$$\frac{-2}{x}\left(-\frac{3}{5}\right)$$

Multiply \frac{-2}{x} times -\frac{3}{5} by multiplying numerator times numerator and denominator times denominator.

$$\frac{-\left(-2\right)\times 3}{x\times 5}$$

Multiply -1 and -2 to get 2.

$$\frac{2\times 3}{x\times 5}$$

Multiply 2 and 3 to get 6.

$$\frac{6}{x\times 5}$$

Differentiate w.r.t. x

$$-\frac{6}{5x^{2}}$$