Solve -x^2*6x^2

$$- x ^ { 2 } \times 6 x ^ { 2 }$$

Evaluate

$$-6x^{4}$$

Solution Steps

Multiply -1 and 6 to get -6.

$$-6x^{2}x^{2}$$

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

$$-6x^{4}$$

Differentiate w.r.t. x

$$-24x^{3}$$

Steps Using Definition of a Derivative

Multiply -1 and 6 to get -6.

$$\frac{\mathrm{d}}{\mathrm{d}x}(-6x^{2}x^{2})$$

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

$$\frac{\mathrm{d}}{\mathrm{d}x}(-6x^{4})$$

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

$$4\left(-6\right)x^{4-1}$$

Multiply 4 times -6.

$$-24x^{4-1}$$

Subtract 1 from 4.

$$-24x^{3}$$