Solve 2x(7x)

$$2x(7x)$$

Evaluate

$$14x^{2}$$

Solution Steps

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

$$2x^{2}\times 7$$

Multiply 2 and 7 to get 14.

$$14x^{2}$$

Differentiate w.r.t. x

$$28x$$

Steps Using Definition of a Derivative

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

$$\frac{\mathrm{d}}{\mathrm{d}x}(2x^{2}\times 7)$$

Multiply 2 and 7 to get 14.

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

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

$$2\times 14x^{2-1}$$

Multiply 2 times 14.

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

Subtract 1 from 2.

$$28x^{1}$$

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

$$28x$$