Solve 48x*14x

$$48x \times 14x$$

Evaluate

$$672x^{2}$$

Solution Steps

Multiply x and x to get x^{2}.

$$48x^{2}\times 14$$

Multiply 48 and 14 to get 672.

$$672x^{2}$$

Differentiate w.r.t. x

$$1344x$$

Steps Using Definition of a Derivative

Multiply x and x to get x^{2}.

$$\frac{\mathrm{d}}{\mathrm{d}x}(48x^{2}\times 14)$$

Multiply 48 and 14 to get 672.

$$\frac{\mathrm{d}}{\mathrm{d}x}(672x^{2})$$

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

$$2\times 672x^{2-1}$$

Multiply 2 times 672.

$$1344x^{2-1}$$

Subtract 1 from 2.

$$1344x^{1}$$

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

$$1344x$$