Solve 22*22*22x=

$$22 \times 22 \times 22 x =$$

Evaluate

$$10648x$$

Solution Steps

Multiply 22 and 22 to get 484.

$$484\times 22x$$

Multiply 484 and 22 to get 10648.

$$10648x$$

Differentiate w.r.t. x

$$10648$$

Steps Using Definition of a Derivative

Multiply 22 and 22 to get 484.

$$\frac{\mathrm{d}}{\mathrm{d}x}(484\times 22x)$$

Multiply 484 and 22 to get 10648.

$$\frac{\mathrm{d}}{\mathrm{d}x}(10648x)$$

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

$$10648x^{1-1}$$

Subtract 1 from 1.

$$10648x^{0}$$

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

$$10648\times 1$$

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

$$10648$$