Solve (48x)(72x)

$$( 48 x ) ( 72 x )$$

Evaluate

$$3456x^{2}$$

Solution Steps

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

$$48x^{2}\times 72$$

Multiply 48 and 72 to get 3456.

$$3456x^{2}$$

Differentiate w.r.t. x

$$6912x$$

Steps Using Definition of a Derivative

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

$$\frac{\mathrm{d}}{\mathrm{d}x}(48x^{2}\times 72)$$

Multiply 48 and 72 to get 3456.

$$\frac{\mathrm{d}}{\mathrm{d}x}(3456x^{2})$$

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

$$2\times 3456x^{2-1}$$

Multiply 2 times 3456.

$$6912x^{2-1}$$

Subtract 1 from 2.

$$6912x^{1}$$

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

$$6912x$$