Solve 9x*3x=

$$9 x \times 3 x =$$

Evaluate

$$27x^{2}$$

Solution Steps

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

$$9x^{2}\times 3$$

Multiply 9 and 3 to get 27.

$$27x^{2}$$

Differentiate w.r.t. x

$$54x$$

Steps Using Definition of a Derivative

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

$$\frac{\mathrm{d}}{\mathrm{d}x}(9x^{2}\times 3)$$

Multiply 9 and 3 to get 27.

$$\frac{\mathrm{d}}{\mathrm{d}x}(27x^{2})$$

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

$$2\times 27x^{2-1}$$

Multiply 2 times 27.

$$54x^{2-1}$$

Subtract 1 from 2.

$$54x^{1}$$

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

$$54x$$