Solve 1/7x/14

$$1 / 7 \frac { x } { 14 }$$

Evaluate

$$\frac{x}{98}$$

Solution Steps

Multiply \frac{1}{7} times \frac{x}{14} by multiplying numerator times numerator and denominator times denominator.

$$\frac{x}{7\times 14}$$

Multiply 7 and 14 to get 98.

$$\frac{x}{98}$$

Differentiate w.r.t. x

$$\frac{1}{98} = 0.01020408163265306$$

Steps Using Definition of a Derivative

Multiply \frac{1}{7} times \frac{x}{14} by multiplying numerator times numerator and denominator times denominator.

$$\frac{\mathrm{d}}{\mathrm{d}x}(\frac{x}{7\times 14})$$

Multiply 7 and 14 to get 98.

$$\frac{\mathrm{d}}{\mathrm{d}x}(\frac{x}{98})$$

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

$$\frac{1}{98}x^{1-1}$$

Subtract 1 from 1.

$$\frac{1}{98}x^{0}$$

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

$$\frac{1}{98}\times 1$$

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

$$\frac{1}{98}$$