Solve -x^23*2x

$$- { x }^{ 23 } \times 2x$$

Evaluate

$$-2x^{24}$$

Solution Steps

Multiply -1 and 2 to get -2.

$$-2x^{23}x$$

To multiply powers of the same base, add their exponents. Add 23 and 1 to get 24.

$$-2x^{24}$$

Differentiate w.r.t. x

$$-48x^{23}$$

Steps Using Definition of a Derivative

Multiply -1 and 2 to get -2.

$$\frac{\mathrm{d}}{\mathrm{d}x}(-2x^{23}x)$$

To multiply powers of the same base, add their exponents. Add 23 and 1 to get 24.

$$\frac{\mathrm{d}}{\mathrm{d}x}(-2x^{24})$$

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

$$24\left(-2\right)x^{24-1}$$

Multiply 24 times -2.

$$-48x^{24-1}$$

Subtract 1 from 24.

$$-48x^{23}$$