Solve 7x*7x

$$7 x \times 7 x$$

Evaluate

$$49x^{2}$$

Solution Steps

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

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

Multiply 7 and 7 to get 49.

$$49x^{2}$$

Differentiate w.r.t. x

$$98x$$

Steps Using Definition of a Derivative

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

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

Multiply 7 and 7 to get 49.

$$\frac{\mathrm{d}}{\mathrm{d}x}(49x^{2})$$

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

$$2\times 49x^{2-1}$$

Multiply 2 times 49.

$$98x^{2-1}$$

Subtract 1 from 2.

$$98x^{1}$$

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

$$98x$$