Solve x/74+x/76

$$\frac { x } { 74 } + \frac { x } { 76 }$$

Differentiate w.r.t. x

$$\frac{75}{2812} = 0.02667140825035562$$

Steps Using Definition of a Derivative

Combine \frac{x}{74} and \frac{x}{76} to get \frac{75}{2812}x.

$$\frac{\mathrm{d}}{\mathrm{d}x}(\frac{75}{2812}x)$$

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

$$\frac{75}{2812}x^{1-1}$$

Subtract 1 from 1.

$$\frac{75}{2812}x^{0}$$

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

$$\frac{75}{2812}\times 1$$

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

$$\frac{75}{2812}$$

Evaluate

$$\frac{75x}{2812}$$

Solution Steps

Combine \frac{x}{74} and \frac{x}{76} to get \frac{75}{2812}x.

$$\frac{75}{2812}x$$