Solve (2)(2x^2)(24)

$$(2)(2 { x }^{ 2 } )(24)$$

Evaluate

$$96x^{2}$$

Solution Steps

Multiply 2 and 2 to get 4.

$$4x^{2}\times 24$$

Multiply 4 and 24 to get 96.

$$96x^{2}$$

Differentiate w.r.t. x

$$192x$$

Steps Using Definition of a Derivative

Multiply 2 and 2 to get 4.

$$\frac{\mathrm{d}}{\mathrm{d}x}(4x^{2}\times 24)$$

Multiply 4 and 24 to get 96.

$$\frac{\mathrm{d}}{\mathrm{d}x}(96x^{2})$$

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

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

Multiply 2 times 96.

$$192x^{2-1}$$

Subtract 1 from 2.

$$192x^{1}$$

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

$$192x$$