Solve 16/28115x*1045/30815

$$\frac{ 16 }{ 28115 } \frac{ x \times 1045 }{ 30815 }$$

Evaluate

$$\frac{3344x}{173272745}$$

Solution Steps

Divide x\times 1045 by 30815 to get x\times \frac{209}{6163}.

$$\frac{16}{28115}x\times \frac{209}{6163}$$

Multiply \frac{16}{28115} times \frac{209}{6163} by multiplying numerator times numerator and denominator times denominator.

$$\frac{16\times 209}{28115\times 6163}x$$

Do the multiplications in the fraction \frac{16\times 209}{28115\times 6163}.

$$\frac{3344}{173272745}x$$

Differentiate w.r.t. x

$$\frac{3344}{173272745} = 1.9299053639393777 \times 10^{-5}$$

Steps Using Definition of a Derivative

Divide x\times 1045 by 30815 to get x\times \frac{209}{6163}.

$$\frac{\mathrm{d}}{\mathrm{d}x}(\frac{16}{28115}x\times \frac{209}{6163})$$

Multiply \frac{16}{28115} times \frac{209}{6163} by multiplying numerator times numerator and denominator times denominator.

$$\frac{\mathrm{d}}{\mathrm{d}x}(\frac{16\times 209}{28115\times 6163}x)$$

Do the multiplications in the fraction \frac{16\times 209}{28115\times 6163}.

$$\frac{\mathrm{d}}{\mathrm{d}x}(\frac{3344}{173272745}x)$$

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

$$\frac{3344}{173272745}x^{1-1}$$

Subtract 1 from 1.

$$\frac{3344}{173272745}x^{0}$$

For any term t except 0, t^{0}=1.

$$\frac{3344}{173272745}\times 1$$

For any term t, t\times 1=t and 1t=t.

$$\frac{3344}{173272745}$$