Solve 24*8*2x

$$24 \times 8 \times 2 x$$

Evaluate

$$384x$$

Solution Steps

Multiply 24 and 8 to get 192.

$$192\times 2x$$

Multiply 192 and 2 to get 384.

$$384x$$

Differentiate w.r.t. x

$$384$$

Steps Using Definition of a Derivative

Multiply 24 and 8 to get 192.

$$\frac{\mathrm{d}}{\mathrm{d}x}(192\times 2x)$$

Multiply 192 and 2 to get 384.

$$\frac{\mathrm{d}}{\mathrm{d}x}(384x)$$

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

$$384x^{1-1}$$

Subtract 1 from 1.

$$384x^{0}$$

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

$$384\times 1$$

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

$$384$$