Solve x/17/24

$$\frac { x / 17 } { 24 }$$

Evaluate

$$\frac{x}{408}$$

Solution Steps

Express \frac{\frac{x}{17}}{24} as a single fraction.

$$\frac{x}{17\times 24}$$

Multiply 17 and 24 to get 408.

$$\frac{x}{408}$$

Differentiate w.r.t. x

$$\frac{1}{408} = 0.0024509803921568627$$

Steps Using Definition of a Derivative

Express \frac{\frac{x}{17}}{24} as a single fraction.

$$\frac{\mathrm{d}}{\mathrm{d}x}(\frac{x}{17\times 24})$$

Multiply 17 and 24 to get 408.

$$\frac{\mathrm{d}}{\mathrm{d}x}(\frac{x}{408})$$

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

$$\frac{1}{408}x^{1-1}$$

Subtract 1 from 1.

$$\frac{1}{408}x^{0}$$

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

$$\frac{1}{408}\times 1$$

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

$$\frac{1}{408}$$