Solve x^4(-3x^2)

$$x ^ { 4 } ( - 3 x ^ { 2 } )$$

Differentiate w.r.t. x

$$-18x^{5}$$

Steps Using Definition of a Derivative

To multiply powers of the same base, add their exponents. Add 4 and 2 to get 6.

$$\frac{\mathrm{d}}{\mathrm{d}x}(x^{6}\left(-3\right))$$

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

$$6\left(-3\right)x^{6-1}$$

Multiply 6 times -3.

$$-18x^{6-1}$$

Subtract 1 from 6.

$$-18x^{5}$$

Evaluate

$$-3x^{6}$$

Solution Steps

To multiply powers of the same base, add their exponents. Add 4 and 2 to get 6.

$$x^{6}\left(-3\right)$$