Solve 100*15/75*X=

$$\frac { 100 \times 15 } { 75 \times X } =$$

Evaluate

$$\frac{20}{X}$$

Solution Steps

Cancel out 3\times 25 in both numerator and denominator.

$$\frac{4\times 5}{X}$$

Multiply 4 and 5 to get 20.

$$\frac{20}{X}$$

Differentiate w.r.t. X

$$-\frac{20}{X^{2}}$$

Steps Using Definition of a Derivative

Cancel out 3\times 25 in both numerator and denominator.

$$\frac{\mathrm{d}}{\mathrm{d}X}(\frac{4\times 5}{X})$$

Multiply 4 and 5 to get 20.

$$\frac{\mathrm{d}}{\mathrm{d}X}(\frac{20}{X})$$

The derivative of ax^{n} is nax^{n-1}.

$$-20X^{-1-1}$$

Subtract 1 from -1.

$$-20X^{-2}$$