Solve 064m^3+125n^6

$$064 m ^ { 3 } + 125 n ^ { 6 }$$

Evaluate

$$125n^{6}$$

Solution Steps

Multiply 0 and 64 to get 0.

$$0m^{3}+125n^{6}$$

Anything times zero gives zero.

$$0+125n^{6}$$

Anything plus zero gives itself.

$$125n^{6}$$

Differentiate w.r.t. n

$$750n^{5}$$

Steps Using Definition of a Derivative

Multiply 0 and 64 to get 0.

$$\frac{\mathrm{d}}{\mathrm{d}n}(0m^{3}+125n^{6})$$

Anything times zero gives zero.

$$\frac{\mathrm{d}}{\mathrm{d}n}(0+125n^{6})$$

Anything plus zero gives itself.

$$\frac{\mathrm{d}}{\mathrm{d}n}(125n^{6})$$

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

$$6\times 125n^{6-1}$$

Multiply 6 times 125.

$$750n^{6-1}$$

Subtract 1 from 6.

$$750n^{5}$$