Solve 4^29x3

$${ 4 }^{ 2 } 9x3$$

Evaluate

$$144x_{3}$$

Solution Steps

Calculate 4 to the power of 2 and get 16.

$$16\times 9x_{3}$$

Multiply 16 and 9 to get 144.

$$144x_{3}$$

Differentiate w.r.t. x_3

$$144$$

Steps Using Definition of a Derivative

Calculate 4 to the power of 2 and get 16.

$$\frac{\mathrm{d}}{\mathrm{d}x_{3}}(16\times 9x_{3})$$

Multiply 16 and 9 to get 144.

$$\frac{\mathrm{d}}{\mathrm{d}x_{3}}(144x_{3})$$

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

$$144x_{3}^{1-1}$$

Subtract 1 from 1.

$$144x_{3}^{0}$$

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

$$144\times 1$$

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

$$144$$