Solve 2x*14x

$$2x \times 14x$$

Evaluate

$$28x^{2}$$

Solution Steps

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

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

Multiply 2 and 14 to get 28.

$$28x^{2}$$

Differentiate w.r.t. x

$$56x$$

Steps Using Definition of a Derivative

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

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

Multiply 2 and 14 to get 28.

$$\frac{\mathrm{d}}{\mathrm{d}x}(28x^{2})$$

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

$$2\times 28x^{2-1}$$

Multiply 2 times 28.

$$56x^{2-1}$$

Subtract 1 from 2.

$$56x^{1}$$

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

$$56x$$