Solve 6a^0b^-2

$$6 a ^ { 0 } b ^ { - 2 }$$

Evaluate

$$\frac{6}{b^{2}}$$

Solution Steps

Calculate a to the power of 0 and get 1.

$$6\times 1b^{-2}$$

Multiply 6 and 1 to get 6.

$$6b^{-2}$$

Differentiate w.r.t. b

$$-\frac{12}{b^{3}}$$

Steps Using Definition of a Derivative

Calculate a to the power of 0 and get 1.

$$\frac{\mathrm{d}}{\mathrm{d}b}(6\times 1b^{-2})$$

Multiply 6 and 1 to get 6.

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

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

$$-2\times 6b^{-2-1}$$

Multiply -2 times 6.

$$-12b^{-2-1}$$

Subtract 1 from -2.

$$-12b^{-3}$$