Solve {x}^1frac{1{12}}

$${ x }^{ 1 \frac{ 1 }{ 12 } }$$

Differentiate w.r.t. x

$$\frac{13\sqrt[12]{x}}{12}$$

Steps Using Definition of a Derivative

Multiply 1 and 12 to get 12.

$$\frac{\mathrm{d}}{\mathrm{d}x}(x^{\frac{12+1}{12}})$$

Add 12 and 1 to get 13.

$$\frac{\mathrm{d}}{\mathrm{d}x}(x^{\frac{13}{12}})$$

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

$$\frac{13}{12}x^{\frac{13}{12}-1}$$

Subtract 1 from \frac{13}{12}.

$$\frac{13}{12}\sqrt[12]{x}$$

Evaluate

$$x^{\frac{13}{12}}$$