Solve 88x^2*22x

$$88 { x }^{ 2 } \times 22x$$

Evaluate

$$1936x^{3}$$

Solution Steps

To multiply powers of the same base, add their exponents. Add 2 and 1 to get 3.

$$88x^{3}\times 22$$

Multiply 88 and 22 to get 1936.

$$1936x^{3}$$

Differentiate w.r.t. x

$$5808x^{2}$$

Steps Using Definition of a Derivative

To multiply powers of the same base, add their exponents. Add 2 and 1 to get 3.

$$\frac{\mathrm{d}}{\mathrm{d}x}(88x^{3}\times 22)$$

Multiply 88 and 22 to get 1936.

$$\frac{\mathrm{d}}{\mathrm{d}x}(1936x^{3})$$

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

$$3\times 1936x^{3-1}$$

Multiply 3 times 1936.

$$5808x^{3-1}$$

Subtract 1 from 3.

$$5808x^{2}$$