Solve 8x*9x

$$8x \times 9x$$

Evaluate

$$72x^{2}$$

Solution Steps

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

$$8x^{2}\times 9$$

Multiply 8 and 9 to get 72.

$$72x^{2}$$

Differentiate w.r.t. x

$$144x$$

Steps Using Definition of a Derivative

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

$$\frac{\mathrm{d}}{\mathrm{d}x}(8x^{2}\times 9)$$

Multiply 8 and 9 to get 72.

$$\frac{\mathrm{d}}{\mathrm{d}x}(72x^{2})$$

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

$$2\times 72x^{2-1}$$

Multiply 2 times 72.

$$144x^{2-1}$$

Subtract 1 from 2.

$$144x^{1}$$

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

$$144x$$