Solve 1/60quadx/274

$$\frac { 1 } { 60 } \quad \frac { x } { 274 }$$

Evaluate

$$\frac{x}{16440}$$

Solution Steps

Multiply \frac{1}{60} times \frac{x}{274} by multiplying numerator times numerator and denominator times denominator.

$$\frac{x}{60\times 274}$$

Multiply 60 and 274 to get 16440.

$$\frac{x}{16440}$$

Differentiate w.r.t. x

$$\frac{1}{16440} = 6.082725060827251 \times 10^{-5}$$

Steps Using Definition of a Derivative

Multiply \frac{1}{60} times \frac{x}{274} by multiplying numerator times numerator and denominator times denominator.

$$\frac{\mathrm{d}}{\mathrm{d}x}(\frac{x}{60\times 274})$$

Multiply 60 and 274 to get 16440.

$$\frac{\mathrm{d}}{\mathrm{d}x}(\frac{x}{16440})$$

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

$$\frac{1}{16440}x^{1-1}$$

Subtract 1 from 1.

$$\frac{1}{16440}x^{0}$$

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

$$\frac{1}{16440}\times 1$$

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

$$\frac{1}{16440}$$