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

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

Evaluate

$$-9x^{4}$$

Solution Steps

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

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

Multiply -3 and 3 to get -9.

$$-9x^{4}$$

Differentiate w.r.t. x

$$-36x^{3}$$

Steps Using Definition of a Derivative

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

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

Multiply -3 and 3 to get -9.

$$\frac{\mathrm{d}}{\mathrm{d}x}(-9x^{4})$$

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

$$4\left(-9\right)x^{4-1}$$

Multiply 4 times -9.

$$-36x^{4-1}$$

Subtract 1 from 4.

$$-36x^{3}$$