Solve -12y^12*12*1/12

$$- 12 y ^ { 12 } \times 12 \times \frac { 1 } { 12 }$$

Evaluate

$$-12y^{12}$$

Solution Steps

Multiply -12 and 12 to get -144.

$$-144y^{12}\times \frac{1}{12}$$

Multiply -144 and \frac{1}{12} to get -12.

$$-12y^{12}$$

Differentiate w.r.t. y

$$-144y^{11}$$

Steps Using Definition of a Derivative

Multiply -12 and 12 to get -144.

$$\frac{\mathrm{d}}{\mathrm{d}y}(-144y^{12}\times \frac{1}{12})$$

Multiply -144 and \frac{1}{12} to get -12.

$$\frac{\mathrm{d}}{\mathrm{d}y}(-12y^{12})$$

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

$$12\left(-12\right)y^{12-1}$$

Multiply 12 times -12.

$$-144y^{12-1}$$

Subtract 1 from 12.

$$-144y^{11}$$