Solve -2x^2(-x^3)

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

Evaluate

$$2x^{5}$$

Solution Steps

Multiply -2 and -1 to get 2.

$$2x^{2}x^{3}$$

To multiply powers of the same base, add their exponents. Add 2 and 3 to get 5.

$$2x^{5}$$

Differentiate w.r.t. x

$$10x^{4}$$

Steps Using Definition of a Derivative

Multiply -2 and -1 to get 2.

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

To multiply powers of the same base, add their exponents. Add 2 and 3 to get 5.

$$\frac{\mathrm{d}}{\mathrm{d}x}(2x^{5})$$

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

$$5\times 2x^{5-1}$$

Multiply 5 times 2.

$$10x^{5-1}$$

Subtract 1 from 5.

$$10x^{4}$$