Solve 008a^12-27b^6

$$008 a ^ { 12 } - 27 b ^ { 6 }$$

Evaluate

$$-27b^{6}$$

Solution Steps

Multiply 0 and 0 to get 0.

$$0\times 8a^{12}-27b^{6}$$

Multiply 0 and 8 to get 0.

$$0a^{12}-27b^{6}$$

Anything times zero gives zero.

$$0-27b^{6}$$

Anything plus zero gives itself.

$$-27b^{6}$$

Differentiate w.r.t. b

$$-162b^{5}$$

Steps Using Definition of a Derivative

Multiply 0 and 0 to get 0.

$$\frac{\mathrm{d}}{\mathrm{d}b}(0\times 8a^{12}-27b^{6})$$

Multiply 0 and 8 to get 0.

$$\frac{\mathrm{d}}{\mathrm{d}b}(0a^{12}-27b^{6})$$

Anything times zero gives zero.

$$\frac{\mathrm{d}}{\mathrm{d}b}(0-27b^{6})$$

Anything plus zero gives itself.

$$\frac{\mathrm{d}}{\mathrm{d}b}(-27b^{6})$$

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

$$6\left(-27\right)b^{6-1}$$

Multiply 6 times -27.

$$-162b^{6-1}$$

Subtract 1 from 6.

$$-162b^{5}$$