Solve 5x-4x/58

$$5x-4 \frac{ x }{ 58 }$$

Evaluate

$$\frac{143x}{29}$$

Solution Steps

Express 4\times \frac{x}{58} as a single fraction.

$$5x-\frac{4x}{58}$$

Divide 4x by 58 to get \frac{2}{29}x.

$$5x-\frac{2}{29}x$$

Combine 5x and -\frac{2}{29}x to get \frac{143}{29}x.

$$\frac{143}{29}x$$

Differentiate w.r.t. x

$$\frac{143}{29} = 4\frac{27}{29} = 4.931034482758621$$

Steps Using Definition of a Derivative

Express 4\times \frac{x}{58} as a single fraction.

$$\frac{\mathrm{d}}{\mathrm{d}x}(5x-\frac{4x}{58})$$

Divide 4x by 58 to get \frac{2}{29}x.

$$\frac{\mathrm{d}}{\mathrm{d}x}(5x-\frac{2}{29}x)$$

Combine 5x and -\frac{2}{29}x to get \frac{143}{29}x.

$$\frac{\mathrm{d}}{\mathrm{d}x}(\frac{143}{29}x)$$

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

$$\frac{143}{29}x^{1-1}$$

Subtract 1 from 1.

$$\frac{143}{29}x^{0}$$

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

$$\frac{143}{29}\times 1$$

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

$$\frac{143}{29}$$