Solve 2x^28*3

$$2 x ^ { 2 } 8 \times 3$$

Evaluate

$$48x^{2}$$

Solution Steps

Multiply 2 and 8 to get 16.

$$16x^{2}\times 3$$

Multiply 16 and 3 to get 48.

$$48x^{2}$$

Differentiate w.r.t. x

$$96x$$

Steps Using Definition of a Derivative

Multiply 2 and 8 to get 16.

$$\frac{\mathrm{d}}{\mathrm{d}x}(16x^{2}\times 3)$$

Multiply 16 and 3 to get 48.

$$\frac{\mathrm{d}}{\mathrm{d}x}(48x^{2})$$

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

$$2\times 48x^{2-1}$$

Multiply 2 times 48.

$$96x^{2-1}$$

Subtract 1 from 2.

$$96x^{1}$$

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

$$96x$$