Solve 3x+1/4x

$$3x+ \frac{ 1 }{ 4 } x$$

Differentiate w.r.t. x

$$\frac{13}{4} = 3\frac{1}{4} = 3.25$$

Steps Using Definition of a Derivative

Combine 3x and \frac{1}{4}x to get \frac{13}{4}x.

$$\frac{\mathrm{d}}{\mathrm{d}x}(\frac{13}{4}x)$$

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

$$\frac{13}{4}x^{1-1}$$

Subtract 1 from 1.

$$\frac{13}{4}x^{0}$$

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

$$\frac{13}{4}\times 1$$

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

$$\frac{13}{4}$$

Evaluate

$$\frac{13x}{4}$$

Solution Steps

Combine 3x and \frac{1}{4}x to get \frac{13}{4}x.

$$\frac{13}{4}x$$