Solve -x^3*-3x

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

Evaluate

$$3x^{4}$$

Solution Steps

Multiply -1 and -3 to get 3.

$$3x^{3}x$$

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

$$3x^{4}$$

Differentiate w.r.t. x

$$12x^{3}$$

Steps Using Definition of a Derivative

Multiply -1 and -3 to get 3.

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

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

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

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

$$4\times 3x^{4-1}$$

Multiply 4 times 3.

$$12x^{4-1}$$

Subtract 1 from 4.

$$12x^{3}$$