Solve -2x^3*3x

$$- 2 x ^ { 3 } \times 3 x$$

Evaluate

$$-6x^{4}$$

Solution Steps

To multiply powers of the same base, add their exponents. Add 3 and 1 to get 4.

$$-2x^{4}\times 3$$

Multiply -2 and 3 to get -6.

$$-6x^{4}$$

Differentiate w.r.t. x

$$-24x^{3}$$

Steps Using Definition of a Derivative

To multiply powers of the same base, add their exponents. Add 3 and 1 to get 4.

$$\frac{\mathrm{d}}{\mathrm{d}x}(-2x^{4}\times 3)$$

Multiply -2 and 3 to get -6.

$$\frac{\mathrm{d}}{\mathrm{d}x}(-6x^{4})$$

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

$$4\left(-6\right)x^{4-1}$$

Multiply 4 times -6.

$$-24x^{4-1}$$

Subtract 1 from 4.

$$-24x^{3}$$