Solve 9x*9*12345679=

$$9 x \times 9 \times 12345679 =$$

Evaluate

$$999999999x$$

Solution Steps

Multiply 9 and 9 to get 81.

$$81x\times 12345679$$

Multiply 81 and 12345679 to get 999999999.

$$999999999x$$

Differentiate w.r.t. x

$$999999999$$

Steps Using Definition of a Derivative

Multiply 9 and 9 to get 81.

$$\frac{\mathrm{d}}{\mathrm{d}x}(81x\times 12345679)$$

Multiply 81 and 12345679 to get 999999999.

$$\frac{\mathrm{d}}{\mathrm{d}x}(999999999x)$$

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

$$999999999x^{1-1}$$

Subtract 1 from 1.

$$999999999x^{0}$$

For any term t except 0, t^{0}=1.

$$999999999\times 1$$

For any term t, t\times 1=t and 1t=t.

$$999999999$$