Solve 03y^2-27y^6

$$03 y ^ { 2 } - 27 y ^ { 6 }$$

Evaluate

$$-27y^{6}$$

Solution Steps

Multiply 0 and 3 to get 0.

$$0y^{2}-27y^{6}$$

Anything times zero gives zero.

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

Anything plus zero gives itself.

$$-27y^{6}$$

Differentiate w.r.t. y

$$-162y^{5}$$

Steps Using Definition of a Derivative

Multiply 0 and 3 to get 0.

$$\frac{\mathrm{d}}{\mathrm{d}y}(0y^{2}-27y^{6})$$

Anything times zero gives zero.

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

Anything plus zero gives itself.

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

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

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

Multiply 6 times -27.

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

Subtract 1 from 6.

$$-162y^{5}$$