Solve x^2(-7x^1)

$${ x }^{ 2 } (-7 { x }^{ 1 } )$$

Differentiate w.r.t. x

$$-21x^{2}$$

Steps Using Definition of a Derivative

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

$$\frac{\mathrm{d}}{\mathrm{d}x}(x^{3}\left(-7\right))$$

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

$$3\left(-7\right)x^{3-1}$$

Multiply 3 times -7.

$$-21x^{3-1}$$

Subtract 1 from 3.

$$-21x^{2}$$

Evaluate

$$-7x^{3}$$

Solution Steps

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

$$x^{3}\left(-7\right)$$