Solve k/469*1/100

$$k / 469 \times \frac { 1 } { 100 }$$

Evaluate

$$\frac{k}{46900}$$

Solution Steps

Multiply \frac{k}{469} times \frac{1}{100} by multiplying numerator times numerator and denominator times denominator.

$$\frac{k}{469\times 100}$$

Multiply 469 and 100 to get 46900.

$$\frac{k}{46900}$$

Differentiate w.r.t. k

$$\frac{1}{46900} = 2.1321961620469083 \times 10^{-5}$$

Steps Using Definition of a Derivative

Multiply \frac{k}{469} times \frac{1}{100} by multiplying numerator times numerator and denominator times denominator.

$$\frac{\mathrm{d}}{\mathrm{d}k}(\frac{k}{469\times 100})$$

Multiply 469 and 100 to get 46900.

$$\frac{\mathrm{d}}{\mathrm{d}k}(\frac{k}{46900})$$

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

$$\frac{1}{46900}k^{1-1}$$

Subtract 1 from 1.

$$\frac{1}{46900}k^{0}$$

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

$$\frac{1}{46900}\times 1$$

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

$$\frac{1}{46900}$$