Solve a^6+a^6+a^6

$$a ^ { 6 } + a ^ { 6 } + a ^ { 6 }$$

Evaluate

$$3a^{6}$$

Solution Steps

Combine a^{6} and a^{6} to get 2a^{6}.

$$2a^{6}+a^{6}$$

Combine 2a^{6} and a^{6} to get 3a^{6}.

$$3a^{6}$$

Differentiate w.r.t. a

$$18a^{5}$$

Steps Using Definition of a Derivative

Combine a^{6} and a^{6} to get 2a^{6}.

$$\frac{\mathrm{d}}{\mathrm{d}a}(2a^{6}+a^{6})$$

Combine 2a^{6} and a^{6} to get 3a^{6}.

$$\frac{\mathrm{d}}{\mathrm{d}a}(3a^{6})$$

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

$$6\times 3a^{6-1}$$

Multiply 6 times 3.

$$18a^{6-1}$$

Subtract 1 from 6.

$$18a^{5}$$