Solve -7u^6(-u^6)

$$- 7 u ^ { 6 } ( - u ^ { 6 } )$$

Evaluate

$$7u^{12}$$

Solution Steps

Multiply -7 and -1 to get 7.

$$7u^{6}u^{6}$$

To multiply powers of the same base, add their exponents. Add 6 and 6 to get 12.

$$7u^{12}$$

Differentiate w.r.t. u

$$84u^{11}$$

Steps Using Definition of a Derivative

Multiply -7 and -1 to get 7.

$$\frac{\mathrm{d}}{\mathrm{d}u}(7u^{6}u^{6})$$

To multiply powers of the same base, add their exponents. Add 6 and 6 to get 12.

$$\frac{\mathrm{d}}{\mathrm{d}u}(7u^{12})$$

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

$$12\times 7u^{12-1}$$

Multiply 12 times 7.

$$84u^{12-1}$$

Subtract 1 from 12.

$$84u^{11}$$