Solve u_{P}quad3^3

$$u _ { P } \quad 3 ^ { 3 }$$

Differentiate w.r.t. u_P

$$27$$

Steps Using Definition of a Derivative

Calculate 3 to the power of 3 and get 27.

$$\frac{\mathrm{d}}{\mathrm{d}u_{P}}(u_{P}\times 27)$$

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

$$27u_{P}^{1-1}$$

Subtract 1 from 1.

$$27u_{P}^{0}$$

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

$$27\times 1$$

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

$$27$$

Evaluate

$$27u_{P}$$

Solution Steps

Calculate 3 to the power of 3 and get 27.

$$u_{P}\times 27$$