Solve 6x^0*6y^5

$$6 x ^ { 0 } \cdot 6 y ^ { 5 }$$

Evaluate

$$36y^{5}$$

Solution Steps

Calculate x to the power of 0 and get 1.

$$6\times 1\times 6y^{5}$$

Multiply 6 and 1 to get 6.

$$6\times 6y^{5}$$

Multiply 6 and 6 to get 36.

$$36y^{5}$$

Differentiate w.r.t. y

$$180y^{4}$$

Steps Using Definition of a Derivative

Calculate x to the power of 0 and get 1.

$$\frac{\mathrm{d}}{\mathrm{d}y}(6\times 1\times 6y^{5})$$

Multiply 6 and 1 to get 6.

$$\frac{\mathrm{d}}{\mathrm{d}y}(6\times 6y^{5})$$

Multiply 6 and 6 to get 36.

$$\frac{\mathrm{d}}{\mathrm{d}y}(36y^{5})$$

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

$$5\times 36y^{5-1}$$

Multiply 5 times 36.

$$180y^{5-1}$$

Subtract 1 from 5.

$$180y^{4}$$